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Finding the Fourth Proportional to 964.16, 1,330.76 and 614.80

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Solution

The fourth proportional to 964.16, 1,330.76 and 614.80 is: 848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,330.76 = 614.80 : x
  2. Step 2: Convert to fraction form
    964.16/1,330.76 = 614.80/x
  3. Step 3: Cross multiply
    964.16x = 1,330.76 × 614.80
  4. Step 4: Simplify right side
    964.16x = 818,151.25
  5. Step 5: Solve for x
    x = 818,151.25/964.16
  6. Step 6: Final answer
    x = 848.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.