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Finding the Fourth Proportional to 959.70, 1,340.70 and 959.70

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Solution

The fourth proportional to 959.70, 1,340.70 and 959.70 is: 1,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.70 : 1,340.70 = 959.70 : x
  2. Step 2: Convert to fraction form
    959.70/1,340.70 = 959.70/x
  3. Step 3: Cross multiply
    959.70x = 1,340.70 × 959.70
  4. Step 4: Simplify right side
    959.70x = 1,286,669.79
  5. Step 5: Solve for x
    x = 1,286,669.79/959.70
  6. Step 6: Final answer
    x = 1,340.70

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.