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Finding the Fourth Proportional to 1,024.50, 1,526.61 and 991.38

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Solution

The fourth proportional to 1,024.50, 1,526.61 and 991.38 is: 1,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.50 : 1,526.61 = 991.38 : x
  2. Step 2: Convert to fraction form
    1,024.50/1,526.61 = 991.38/x
  3. Step 3: Cross multiply
    1,024.50x = 1,526.61 × 991.38
  4. Step 4: Simplify right side
    1,024.50x = 1,513,450.62
  5. Step 5: Solve for x
    x = 1,513,450.62/1,024.50
  6. Step 6: Final answer
    x = 1,477.26

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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.