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Finding the Fourth Proportional to 763.98, 1,053.14 and 468.74

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Solution

The fourth proportional to 763.98, 1,053.14 and 468.74 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.98 : 1,053.14 = 468.74 : x
  2. Step 2: Convert to fraction form
    763.98/1,053.14 = 468.74/x
  3. Step 3: Cross multiply
    763.98x = 1,053.14 × 468.74
  4. Step 4: Simplify right side
    763.98x = 493,641.23
  5. Step 5: Solve for x
    x = 493,641.23/763.98
  6. Step 6: Final answer
    x = 646.14

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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.