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Finding the Fourth Proportional to 463.20, 690.72 and 437.28

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Solution

The fourth proportional to 463.20, 690.72 and 437.28 is: 652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 690.72 = 437.28 : x
  2. Step 2: Convert to fraction form
    463.20/690.72 = 437.28/x
  3. Step 3: Cross multiply
    463.20x = 690.72 × 437.28
  4. Step 4: Simplify right side
    463.20x = 302,038.04
  5. Step 5: Solve for x
    x = 302,038.04/463.20
  6. Step 6: Final answer
    x = 652.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.