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Finding the Fourth Proportional to 768.72, 1,060.20 and 474.06

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Solution

The fourth proportional to 768.72, 1,060.20 and 474.06 is: 653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.72 : 1,060.20 = 474.06 : x
  2. Step 2: Convert to fraction form
    768.72/1,060.20 = 474.06/x
  3. Step 3: Cross multiply
    768.72x = 1,060.20 × 474.06
  4. Step 4: Simplify right side
    768.72x = 502,598.41
  5. Step 5: Solve for x
    x = 502,598.41/768.72
  6. Step 6: Final answer
    x = 653.81

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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.