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Finding the Fourth Proportional to 557.20, 781.70 and 557.20

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Solution

The fourth proportional to 557.20, 781.70 and 557.20 is: 781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 781.70 = 557.20 : x
  2. Step 2: Convert to fraction form
    557.20/781.70 = 557.20/x
  3. Step 3: Cross multiply
    557.20x = 781.70 × 557.20
  4. Step 4: Simplify right side
    557.20x = 435,563.24
  5. Step 5: Solve for x
    x = 435,563.24/557.20
  6. Step 6: Final answer
    x = 781.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.