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Finding the Fourth Proportional to 963.18, 1,444.08 and 407.93

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Solution

The fourth proportional to 963.18, 1,444.08 and 407.93 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.18 : 1,444.08 = 407.93 : x
  2. Step 2: Convert to fraction form
    963.18/1,444.08 = 407.93/x
  3. Step 3: Cross multiply
    963.18x = 1,444.08 × 407.93
  4. Step 4: Simplify right side
    963.18x = 589,076.33
  5. Step 5: Solve for x
    x = 589,076.33/963.18
  6. Step 6: Final answer
    x = 611.60

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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.