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Finding the Fourth Proportional to 585.18, 875.18 and 520.63

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Solution

The fourth proportional to 585.18, 875.18 and 520.63 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 875.18 = 520.63 : x
  2. Step 2: Convert to fraction form
    585.18/875.18 = 520.63/x
  3. Step 3: Cross multiply
    585.18x = 875.18 × 520.63
  4. Step 4: Simplify right side
    585.18x = 455,647.36
  5. Step 5: Solve for x
    x = 455,647.36/585.18
  6. Step 6: Final answer
    x = 778.64

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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.