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Finding the Fourth Proportional to 472.69, 652.08 and 315.42

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Solution

The fourth proportional to 472.69, 652.08 and 315.42 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 652.08 = 315.42 : x
  2. Step 2: Convert to fraction form
    472.69/652.08 = 315.42/x
  3. Step 3: Cross multiply
    472.69x = 652.08 × 315.42
  4. Step 4: Simplify right side
    472.69x = 205,679.07
  5. Step 5: Solve for x
    x = 205,679.07/472.69
  6. Step 6: Final answer
    x = 435.12

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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.