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Finding the Fourth Proportional to 963.74, 1,329.35 and 570.69

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Solution

The fourth proportional to 963.74, 1,329.35 and 570.69 is: 787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.74 : 1,329.35 = 570.69 : x
  2. Step 2: Convert to fraction form
    963.74/1,329.35 = 570.69/x
  3. Step 3: Cross multiply
    963.74x = 1,329.35 × 570.69
  4. Step 4: Simplify right side
    963.74x = 758,643.90
  5. Step 5: Solve for x
    x = 758,643.90/963.74
  6. Step 6: Final answer
    x = 787.19

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1.5x scale

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.