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Finding the Fourth Proportional to 473.12, 652.87 and 307.65

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Solution

The fourth proportional to 473.12, 652.87 and 307.65 is: 424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 652.87 = 307.65 : x
  2. Step 2: Convert to fraction form
    473.12/652.87 = 307.65/x
  3. Step 3: Cross multiply
    473.12x = 652.87 × 307.65
  4. Step 4: Simplify right side
    473.12x = 200,855.46
  5. Step 5: Solve for x
    x = 200,855.46/473.12
  6. Step 6: Final answer
    x = 424.53

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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.