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Finding the Fourth Proportional to 1,045.57, 1,561.73 and 985.59

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Solution

The fourth proportional to 1,045.57, 1,561.73 and 985.59 is: 1,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.57 : 1,561.73 = 985.59 : x
  2. Step 2: Convert to fraction form
    1,045.57/1,561.73 = 985.59/x
  3. Step 3: Cross multiply
    1,045.57x = 1,561.73 × 985.59
  4. Step 4: Simplify right side
    1,045.57x = 1,539,224.24
  5. Step 5: Solve for x
    x = 1,539,224.24/1,045.57
  6. Step 6: Final answer
    x = 1,472.14

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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.