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Finding the Fourth Proportional to 782.40, 1,170.96 and 562.40

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Solution

The fourth proportional to 782.40, 1,170.96 and 562.40 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,170.96 = 562.40 : x
  2. Step 2: Convert to fraction form
    782.40/1,170.96 = 562.40/x
  3. Step 3: Cross multiply
    782.40x = 1,170.96 × 562.40
  4. Step 4: Simplify right side
    782.40x = 658,547.90
  5. Step 5: Solve for x
    x = 658,547.90/782.40
  6. Step 6: Final answer
    x = 841.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.