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Finding the Fourth Proportional to 1,588.74, 2,382.05 and 613.70

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Solution

The fourth proportional to 1,588.74, 2,382.05 and 613.70 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.74 : 2,382.05 = 613.70 : x
  2. Step 2: Convert to fraction form
    1,588.74/2,382.05 = 613.70/x
  3. Step 3: Cross multiply
    1,588.74x = 2,382.05 × 613.70
  4. Step 4: Simplify right side
    1,588.74x = 1,461,866.97
  5. Step 5: Solve for x
    x = 1,461,866.97/1,588.74
  6. Step 6: Final answer
    x = 920.14

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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.