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Finding the Fourth Proportional to 768.32, 1,060.24 and 473.75

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Solution

The fourth proportional to 768.32, 1,060.24 and 473.75 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,060.24 = 473.75 : x
  2. Step 2: Convert to fraction form
    768.32/1,060.24 = 473.75/x
  3. Step 3: Cross multiply
    768.32x = 1,060.24 × 473.75
  4. Step 4: Simplify right side
    768.32x = 502,288.70
  5. Step 5: Solve for x
    x = 502,288.70/768.32
  6. Step 6: Final answer
    x = 653.75

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1.5x scale

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.