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Finding the Fourth Proportional to 581.76, 801.84 and 487.28

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Solution

The fourth proportional to 581.76, 801.84 and 487.28 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 801.84 = 487.28 : x
  2. Step 2: Convert to fraction form
    581.76/801.84 = 487.28/x
  3. Step 3: Cross multiply
    581.76x = 801.84 × 487.28
  4. Step 4: Simplify right side
    581.76x = 390,720.60
  5. Step 5: Solve for x
    x = 390,720.60/581.76
  6. Step 6: Final answer
    x = 671.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.