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Finding the Fourth Proportional to 551.24, 760.64 and 315.16

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Solution

The fourth proportional to 551.24, 760.64 and 315.16 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.24 : 760.64 = 315.16 : x
  2. Step 2: Convert to fraction form
    551.24/760.64 = 315.16/x
  3. Step 3: Cross multiply
    551.24x = 760.64 × 315.16
  4. Step 4: Simplify right side
    551.24x = 239,723.30
  5. Step 5: Solve for x
    x = 239,723.30/551.24
  6. Step 6: Final answer
    x = 434.88

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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.