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Finding the Fourth Proportional to 768.64, 1,060.92 and 474.16

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Solution

The fourth proportional to 768.64, 1,060.92 and 474.16 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,060.92 = 474.16 : x
  2. Step 2: Convert to fraction form
    768.64/1,060.92 = 474.16/x
  3. Step 3: Cross multiply
    768.64x = 1,060.92 × 474.16
  4. Step 4: Simplify right side
    768.64x = 503,045.83
  5. Step 5: Solve for x
    x = 503,045.83/768.64
  6. Step 6: Final answer
    x = 654.46

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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.