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Finding the Fourth Proportional to 1,045.98, 1,444.05 and 691.92

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Solution

The fourth proportional to 1,045.98, 1,444.05 and 691.92 is: 955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.98 : 1,444.05 = 691.92 : x
  2. Step 2: Convert to fraction form
    1,045.98/1,444.05 = 691.92/x
  3. Step 3: Cross multiply
    1,045.98x = 1,444.05 × 691.92
  4. Step 4: Simplify right side
    1,045.98x = 999,167.08
  5. Step 5: Solve for x
    x = 999,167.08/1,045.98
  6. Step 6: Final answer
    x = 955.24

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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.