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Finding the Fourth Proportional to 577.26, 866.16 and 288.90

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Solution

The fourth proportional to 577.26, 866.16 and 288.90 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 866.16 = 288.90 : x
  2. Step 2: Convert to fraction form
    577.26/866.16 = 288.90/x
  3. Step 3: Cross multiply
    577.26x = 866.16 × 288.90
  4. Step 4: Simplify right side
    577.26x = 250,233.62
  5. Step 5: Solve for x
    x = 250,233.62/577.26
  6. Step 6: Final answer
    x = 433.49

Related Problems

Find fourth proportional to 288.63, 433.08 and 144.45
Half scale
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Double scale
Find fourth proportional to 578.26, 867.66 and 289.90
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.