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Finding the Fourth Proportional to 1,013.57, 1,398.23 and 719.00

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Solution

The fourth proportional to 1,013.57, 1,398.23 and 719.00 is: 991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.57 : 1,398.23 = 719.00 : x
  2. Step 2: Convert to fraction form
    1,013.57/1,398.23 = 719.00/x
  3. Step 3: Cross multiply
    1,013.57x = 1,398.23 × 719.00
  4. Step 4: Simplify right side
    1,013.57x = 1,005,320.38
  5. Step 5: Solve for x
    x = 1,005,320.38/1,013.57
  6. Step 6: Final answer
    x = 991.87

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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.