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Finding the Fourth Proportional to 959.91, 1,323.43 and 710.80

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Solution

The fourth proportional to 959.91, 1,323.43 and 710.80 is: 979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.91 : 1,323.43 = 710.80 : x
  2. Step 2: Convert to fraction form
    959.91/1,323.43 = 710.80/x
  3. Step 3: Cross multiply
    959.91x = 1,323.43 × 710.80
  4. Step 4: Simplify right side
    959.91x = 940,694.04
  5. Step 5: Solve for x
    x = 940,694.04/959.91
  6. Step 6: Final answer
    x = 979.98

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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.