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Finding the Fourth Proportional to 957.17, 1,319.90 and 708.98

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Solution

The fourth proportional to 957.17, 1,319.90 and 708.98 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.17 : 1,319.90 = 708.98 : x
  2. Step 2: Convert to fraction form
    957.17/1,319.90 = 708.98/x
  3. Step 3: Cross multiply
    957.17x = 1,319.90 × 708.98
  4. Step 4: Simplify right side
    957.17x = 935,772.56
  5. Step 5: Solve for x
    x = 935,772.56/957.17
  6. Step 6: Final answer
    x = 977.64

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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.