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Finding the Fourth Proportional to 1,045.70, 1,561.92 and 985.72

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Solution

The fourth proportional to 1,045.70, 1,561.92 and 985.72 is: 1,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.70 : 1,561.92 = 985.72 : x
  2. Step 2: Convert to fraction form
    1,045.70/1,561.92 = 985.72/x
  3. Step 3: Cross multiply
    1,045.70x = 1,561.92 × 985.72
  4. Step 4: Simplify right side
    1,045.70x = 1,539,603.04
  5. Step 5: Solve for x
    x = 1,539,603.04/1,045.70
  6. Step 6: Final answer
    x = 1,472.33

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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.