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Finding the Fourth Proportional to 630.11, 864.86 and 558.59

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Solution

The fourth proportional to 630.11, 864.86 and 558.59 is: 766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.11 : 864.86 = 558.59 : x
  2. Step 2: Convert to fraction form
    630.11/864.86 = 558.59/x
  3. Step 3: Cross multiply
    630.11x = 864.86 × 558.59
  4. Step 4: Simplify right side
    630.11x = 483,095.03
  5. Step 5: Solve for x
    x = 483,095.03/630.11
  6. Step 6: Final answer
    x = 766.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.