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Finding the Fourth Proportional to 560.46, 840.24 and 397.74

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Solution

The fourth proportional to 560.46, 840.24 and 397.74 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 840.24 = 397.74 : x
  2. Step 2: Convert to fraction form
    560.46/840.24 = 397.74/x
  3. Step 3: Cross multiply
    560.46x = 840.24 × 397.74
  4. Step 4: Simplify right side
    560.46x = 334,197.06
  5. Step 5: Solve for x
    x = 334,197.06/560.46
  6. Step 6: Final answer
    x = 596.29

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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.