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Finding the Fourth Proportional to 485.76, 669.90 and 437.16

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Solution

The fourth proportional to 485.76, 669.90 and 437.16 is: 602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 669.90 = 437.16 : x
  2. Step 2: Convert to fraction form
    485.76/669.90 = 437.16/x
  3. Step 3: Cross multiply
    485.76x = 669.90 × 437.16
  4. Step 4: Simplify right side
    485.76x = 292,853.48
  5. Step 5: Solve for x
    x = 292,853.48/485.76
  6. Step 6: Final answer
    x = 602.88

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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.