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Finding the Fourth Proportional to 560.97, 841.59 and 557.15

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Solution

The fourth proportional to 560.97, 841.59 and 557.15 is: 835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 841.59 = 557.15 : x
  2. Step 2: Convert to fraction form
    560.97/841.59 = 557.15/x
  3. Step 3: Cross multiply
    560.97x = 841.59 × 557.15
  4. Step 4: Simplify right side
    560.97x = 468,887.66
  5. Step 5: Solve for x
    x = 468,887.66/560.97
  6. Step 6: Final answer
    x = 835.85

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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.