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Finding the Fourth Proportional to 954.75, 1,432.60 and 407.06

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Solution

The fourth proportional to 954.75, 1,432.60 and 407.06 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,432.60 = 407.06 : x
  2. Step 2: Convert to fraction form
    954.75/1,432.60 = 407.06/x
  3. Step 3: Cross multiply
    954.75x = 1,432.60 × 407.06
  4. Step 4: Simplify right side
    954.75x = 583,154.16
  5. Step 5: Solve for x
    x = 583,154.16/954.75
  6. Step 6: Final answer
    x = 610.79

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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.