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Finding the Fourth Proportional to 762.59, 1,053.12 and 651.42

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Solution

The fourth proportional to 762.59, 1,053.12 and 651.42 is: 899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.59 : 1,053.12 = 651.42 : x
  2. Step 2: Convert to fraction form
    762.59/1,053.12 = 651.42/x
  3. Step 3: Cross multiply
    762.59x = 1,053.12 × 651.42
  4. Step 4: Simplify right side
    762.59x = 686,016.54
  5. Step 5: Solve for x
    x = 686,016.54/762.59
  6. Step 6: Final answer
    x = 899.59

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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.