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Finding the Fourth Proportional to 471.79, 708.47 and 307.53

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Solution

The fourth proportional to 471.79, 708.47 and 307.53 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.79 : 708.47 = 307.53 : x
  2. Step 2: Convert to fraction form
    471.79/708.47 = 307.53/x
  3. Step 3: Cross multiply
    471.79x = 708.47 × 307.53
  4. Step 4: Simplify right side
    471.79x = 217,879.78
  5. Step 5: Solve for x
    x = 217,879.78/471.79
  6. Step 6: Final answer
    x = 461.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.