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Finding the Fourth Proportional to 758.89, 1,047.02 and 493.30

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Solution

The fourth proportional to 758.89, 1,047.02 and 493.30 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.89 : 1,047.02 = 493.30 : x
  2. Step 2: Convert to fraction form
    758.89/1,047.02 = 493.30/x
  3. Step 3: Cross multiply
    758.89x = 1,047.02 × 493.30
  4. Step 4: Simplify right side
    758.89x = 516,492.50
  5. Step 5: Solve for x
    x = 516,492.50/758.89
  6. Step 6: Final answer
    x = 680.59

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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.