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Finding the Fourth Proportional to 469.58, 701.20 and 442.58

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Solution

The fourth proportional to 469.58, 701.20 and 442.58 is: 660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 701.20 = 442.58 : x
  2. Step 2: Convert to fraction form
    469.58/701.20 = 442.58/x
  3. Step 3: Cross multiply
    469.58x = 701.20 × 442.58
  4. Step 4: Simplify right side
    469.58x = 310,337.10
  5. Step 5: Solve for x
    x = 310,337.10/469.58
  6. Step 6: Final answer
    x = 660.88

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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.