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Finding the Fourth Proportional to 641.42, 957.33 and 590.12

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Solution

The fourth proportional to 641.42, 957.33 and 590.12 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.42 : 957.33 = 590.12 : x
  2. Step 2: Convert to fraction form
    641.42/957.33 = 590.12/x
  3. Step 3: Cross multiply
    641.42x = 957.33 × 590.12
  4. Step 4: Simplify right side
    641.42x = 564,939.58
  5. Step 5: Solve for x
    x = 564,939.58/641.42
  6. Step 6: Final answer
    x = 880.76

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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.