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Finding the Fourth Proportional to 472.76, 652.16 and 307.06

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Solution

The fourth proportional to 472.76, 652.16 and 307.06 is: 423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 652.16 = 307.06 : x
  2. Step 2: Convert to fraction form
    472.76/652.16 = 307.06/x
  3. Step 3: Cross multiply
    472.76x = 652.16 × 307.06
  4. Step 4: Simplify right side
    472.76x = 200,253.02
  5. Step 5: Solve for x
    x = 200,253.02/472.76
  6. Step 6: Final answer
    x = 423.59

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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.