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Finding the Fourth Proportional to 552.24, 823.73 and 507.47

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Solution

The fourth proportional to 552.24, 823.73 and 507.47 is: 756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 823.73 = 507.47 : x
  2. Step 2: Convert to fraction form
    552.24/823.73 = 507.47/x
  3. Step 3: Cross multiply
    552.24x = 823.73 × 507.47
  4. Step 4: Simplify right side
    552.24x = 418,011.61
  5. Step 5: Solve for x
    x = 418,011.61/552.24
  6. Step 6: Final answer
    x = 756.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.