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Finding the Fourth Proportional to 577.14, 865.17 and 288.51

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Solution

The fourth proportional to 577.14, 865.17 and 288.51 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 865.17 = 288.51 : x
  2. Step 2: Convert to fraction form
    577.14/865.17 = 288.51/x
  3. Step 3: Cross multiply
    577.14x = 865.17 × 288.51
  4. Step 4: Simplify right side
    577.14x = 249,610.20
  5. Step 5: Solve for x
    x = 249,610.20/577.14
  6. Step 6: Final answer
    x = 432.50

Related Problems

Find fourth proportional to 288.57, 432.59 and 144.26
Half scale
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Double scale
Find fourth proportional to 578.14, 866.67 and 289.51
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.