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Finding the Fourth Proportional to 1,562.15, 2,342.55 and 521.87

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Solution

The fourth proportional to 1,562.15, 2,342.55 and 521.87 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.15 : 2,342.55 = 521.87 : x
  2. Step 2: Convert to fraction form
    1,562.15/2,342.55 = 521.87/x
  3. Step 3: Cross multiply
    1,562.15x = 2,342.55 × 521.87
  4. Step 4: Simplify right side
    1,562.15x = 1,222,506.57
  5. Step 5: Solve for x
    x = 1,222,506.57/1,562.15
  6. Step 6: Final answer
    x = 782.58

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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.