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Finding the Fourth Proportional to 1,107.46, 1,528.50 and 714.61

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Solution

The fourth proportional to 1,107.46, 1,528.50 and 714.61 is: 986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.46 : 1,528.50 = 714.61 : x
  2. Step 2: Convert to fraction form
    1,107.46/1,528.50 = 714.61/x
  3. Step 3: Cross multiply
    1,107.46x = 1,528.50 × 714.61
  4. Step 4: Simplify right side
    1,107.46x = 1,092,281.39
  5. Step 5: Solve for x
    x = 1,092,281.39/1,107.46
  6. Step 6: Final answer
    x = 986.29

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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.