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Finding the Fourth Proportional to 585.15, 875.15 and 520.61

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Solution

The fourth proportional to 585.15, 875.15 and 520.61 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.15 : 875.15 = 520.61 : x
  2. Step 2: Convert to fraction form
    585.15/875.15 = 520.61/x
  3. Step 3: Cross multiply
    585.15x = 875.15 × 520.61
  4. Step 4: Simplify right side
    585.15x = 455,609.28
  5. Step 5: Solve for x
    x = 455,609.28/585.15
  6. Step 6: Final answer
    x = 778.61

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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.