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Finding the Fourth Proportional to 964.16, 1,330.32 and 544.47

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Solution

The fourth proportional to 964.16, 1,330.32 and 544.47 is: 751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,330.32 = 544.47 : x
  2. Step 2: Convert to fraction form
    964.16/1,330.32 = 544.47/x
  3. Step 3: Cross multiply
    964.16x = 1,330.32 × 544.47
  4. Step 4: Simplify right side
    964.16x = 724,319.33
  5. Step 5: Solve for x
    x = 724,319.33/964.16
  6. Step 6: Final answer
    x = 751.24

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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.