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Finding the Fourth Proportional to 1,714.78, 2,572.14 and 560.50

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Solution

The fourth proportional to 1,714.78, 2,572.14 and 560.50 is: 840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.78 : 2,572.14 = 560.50 : x
  2. Step 2: Convert to fraction form
    1,714.78/2,572.14 = 560.50/x
  3. Step 3: Cross multiply
    1,714.78x = 2,572.14 × 560.50
  4. Step 4: Simplify right side
    1,714.78x = 1,441,684.47
  5. Step 5: Solve for x
    x = 1,441,684.47/1,714.78
  6. Step 6: Final answer
    x = 840.74

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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.