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Finding the Fourth Proportional to 929.10, 1,281.70 and 614.04

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Solution

The fourth proportional to 929.10, 1,281.70 and 614.04 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,281.70 = 614.04 : x
  2. Step 2: Convert to fraction form
    929.10/1,281.70 = 614.04/x
  3. Step 3: Cross multiply
    929.10x = 1,281.70 × 614.04
  4. Step 4: Simplify right side
    929.10x = 787,015.07
  5. Step 5: Solve for x
    x = 787,015.07/929.10
  6. Step 6: Final answer
    x = 847.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.