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Finding the Fourth Proportional to 960.61, 1,440.91 and 549.45

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Solution

The fourth proportional to 960.61, 1,440.91 and 549.45 is: 824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.61 : 1,440.91 = 549.45 : x
  2. Step 2: Convert to fraction form
    960.61/1,440.91 = 549.45/x
  3. Step 3: Cross multiply
    960.61x = 1,440.91 × 549.45
  4. Step 4: Simplify right side
    960.61x = 791,705.25
  5. Step 5: Solve for x
    x = 791,705.25/960.61
  6. Step 6: Final answer
    x = 824.17

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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.