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Finding the Fourth Proportional to 577.08, 865.62 and 288.76

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Solution

The fourth proportional to 577.08, 865.62 and 288.76 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 865.62 = 288.76 : x
  2. Step 2: Convert to fraction form
    577.08/865.62 = 288.76/x
  3. Step 3: Cross multiply
    577.08x = 865.62 × 288.76
  4. Step 4: Simplify right side
    577.08x = 249,956.43
  5. Step 5: Solve for x
    x = 249,956.43/577.08
  6. Step 6: Final answer
    x = 433.14

Related Problems

Find fourth proportional to 288.54, 432.81 and 144.38
Half scale
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Double scale
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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.