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Finding the Fourth Proportional to 560.72, 841.12 and 417.36

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Solution

The fourth proportional to 560.72, 841.12 and 417.36 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 841.12 = 417.36 : x
  2. Step 2: Convert to fraction form
    560.72/841.12 = 417.36/x
  3. Step 3: Cross multiply
    560.72x = 841.12 × 417.36
  4. Step 4: Simplify right side
    560.72x = 351,049.84
  5. Step 5: Solve for x
    x = 351,049.84/560.72
  6. Step 6: Final answer
    x = 626.07

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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.