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Finding the Fourth Proportional to 949.32, 1,423.75 and 291.02

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Solution

The fourth proportional to 949.32, 1,423.75 and 291.02 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.32 : 1,423.75 = 291.02 : x
  2. Step 2: Convert to fraction form
    949.32/1,423.75 = 291.02/x
  3. Step 3: Cross multiply
    949.32x = 1,423.75 × 291.02
  4. Step 4: Simplify right side
    949.32x = 414,339.73
  5. Step 5: Solve for x
    x = 414,339.73/949.32
  6. Step 6: Final answer
    x = 436.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.