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Finding the Fourth Proportional to 1,056.61, 1,458.13 and 590.86

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Solution

The fourth proportional to 1,056.61, 1,458.13 and 590.86 is: 815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.61 : 1,458.13 = 590.86 : x
  2. Step 2: Convert to fraction form
    1,056.61/1,458.13 = 590.86/x
  3. Step 3: Cross multiply
    1,056.61x = 1,458.13 × 590.86
  4. Step 4: Simplify right side
    1,056.61x = 861,545.57
  5. Step 5: Solve for x
    x = 861,545.57/1,056.61
  6. Step 6: Final answer
    x = 815.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.