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Finding the Fourth Proportional to 1,580.13, 2,369.37 and 655.53

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Solution

The fourth proportional to 1,580.13, 2,369.37 and 655.53 is: 982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.13 : 2,369.37 = 655.53 : x
  2. Step 2: Convert to fraction form
    1,580.13/2,369.37 = 655.53/x
  3. Step 3: Cross multiply
    1,580.13x = 2,369.37 × 655.53
  4. Step 4: Simplify right side
    1,580.13x = 1,553,193.12
  5. Step 5: Solve for x
    x = 1,553,193.12/1,580.13
  6. Step 6: Final answer
    x = 982.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.