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Finding the Fourth Proportional to 875.50, 1,314.18 and 529.71

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Solution

The fourth proportional to 875.50, 1,314.18 and 529.71 is: 795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.50 : 1,314.18 = 529.71 : x
  2. Step 2: Convert to fraction form
    875.50/1,314.18 = 529.71/x
  3. Step 3: Cross multiply
    875.50x = 1,314.18 × 529.71
  4. Step 4: Simplify right side
    875.50x = 696,134.29
  5. Step 5: Solve for x
    x = 696,134.29/875.50
  6. Step 6: Final answer
    x = 795.13

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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.