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Finding the Fourth Proportional to 763.58, 1,052.64 and 566.75

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Solution

The fourth proportional to 763.58, 1,052.64 and 566.75 is: 781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.58 : 1,052.64 = 566.75 : x
  2. Step 2: Convert to fraction form
    763.58/1,052.64 = 566.75/x
  3. Step 3: Cross multiply
    763.58x = 1,052.64 × 566.75
  4. Step 4: Simplify right side
    763.58x = 596,578.46
  5. Step 5: Solve for x
    x = 596,578.46/763.58
  6. Step 6: Final answer
    x = 781.30

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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.