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Finding the Fourth Proportional to 782.38, 1,173.20 and 319.77

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Solution

The fourth proportional to 782.38, 1,173.20 and 319.77 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,173.20 = 319.77 : x
  2. Step 2: Convert to fraction form
    782.38/1,173.20 = 319.77/x
  3. Step 3: Cross multiply
    782.38x = 1,173.20 × 319.77
  4. Step 4: Simplify right side
    782.38x = 375,154.16
  5. Step 5: Solve for x
    x = 375,154.16/782.38
  6. Step 6: Final answer
    x = 479.50

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Double scale
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1.5x scale

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.