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Finding the Fourth Proportional to 759.30, 1,047.78 and 497.40

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Solution

The fourth proportional to 759.30, 1,047.78 and 497.40 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.30 : 1,047.78 = 497.40 : x
  2. Step 2: Convert to fraction form
    759.30/1,047.78 = 497.40/x
  3. Step 3: Cross multiply
    759.30x = 1,047.78 × 497.40
  4. Step 4: Simplify right side
    759.30x = 521,165.77
  5. Step 5: Solve for x
    x = 521,165.77/759.30
  6. Step 6: Final answer
    x = 686.38

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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.