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Finding the Fourth Proportional to 832.54, 1,148.80 and 500.88

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Solution

The fourth proportional to 832.54, 1,148.80 and 500.88 is: 691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.54 : 1,148.80 = 500.88 : x
  2. Step 2: Convert to fraction form
    832.54/1,148.80 = 500.88/x
  3. Step 3: Cross multiply
    832.54x = 1,148.80 × 500.88
  4. Step 4: Simplify right side
    832.54x = 575,410.94
  5. Step 5: Solve for x
    x = 575,410.94/832.54
  6. Step 6: Final answer
    x = 691.15

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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.