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Finding the Fourth Proportional to 957.58, 1,320.80 and 708.92

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Solution

The fourth proportional to 957.58, 1,320.80 and 708.92 is: 977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.58 : 1,320.80 = 708.92 : x
  2. Step 2: Convert to fraction form
    957.58/1,320.80 = 708.92/x
  3. Step 3: Cross multiply
    957.58x = 1,320.80 × 708.92
  4. Step 4: Simplify right side
    957.58x = 936,341.54
  5. Step 5: Solve for x
    x = 936,341.54/957.58
  6. Step 6: Final answer
    x = 977.82

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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.