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Finding the Fourth Proportional to 1,142.29, 1,710.19 and 708.13

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Solution

The fourth proportional to 1,142.29, 1,710.19 and 708.13 is: 1,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.29 : 1,710.19 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,142.29/1,710.19 = 708.13/x
  3. Step 3: Cross multiply
    1,142.29x = 1,710.19 × 708.13
  4. Step 4: Simplify right side
    1,142.29x = 1,211,036.84
  5. Step 5: Solve for x
    x = 1,211,036.84/1,142.29
  6. Step 6: Final answer
    x = 1,060.18

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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.