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Finding the Fourth Proportional to 963.30, 1,329.33 and 570.45

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Solution

The fourth proportional to 963.30, 1,329.33 and 570.45 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.30 : 1,329.33 = 570.45 : x
  2. Step 2: Convert to fraction form
    963.30/1,329.33 = 570.45/x
  3. Step 3: Cross multiply
    963.30x = 1,329.33 × 570.45
  4. Step 4: Simplify right side
    963.30x = 758,316.30
  5. Step 5: Solve for x
    x = 758,316.30/963.30
  6. Step 6: Final answer
    x = 787.21

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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.