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Finding the Fourth Proportional to 472.39, 652.53 and 384.91

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Solution

The fourth proportional to 472.39, 652.53 and 384.91 is: 531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 652.53 = 384.91 : x
  2. Step 2: Convert to fraction form
    472.39/652.53 = 384.91/x
  3. Step 3: Cross multiply
    472.39x = 652.53 × 384.91
  4. Step 4: Simplify right side
    472.39x = 251,165.32
  5. Step 5: Solve for x
    x = 251,165.32/472.39
  6. Step 6: Final answer
    x = 531.69

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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.