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Finding the Fourth Proportional to 708.98, 1,057.00 and 691.00

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Solution

The fourth proportional to 708.98, 1,057.00 and 691.00 is: 1,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.98 : 1,057.00 = 691.00 : x
  2. Step 2: Convert to fraction form
    708.98/1,057.00 = 691.00/x
  3. Step 3: Cross multiply
    708.98x = 1,057.00 × 691.00
  4. Step 4: Simplify right side
    708.98x = 730,389.19
  5. Step 5: Solve for x
    x = 730,389.19/708.98
  6. Step 6: Final answer
    x = 1,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.