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Finding the Fourth Proportional to 1,132.79, 1,690.98 and 979.70

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Solution

The fourth proportional to 1,132.79, 1,690.98 and 979.70 is: 1,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.79 : 1,690.98 = 979.70 : x
  2. Step 2: Convert to fraction form
    1,132.79/1,690.98 = 979.70/x
  3. Step 3: Cross multiply
    1,132.79x = 1,690.98 × 979.70
  4. Step 4: Simplify right side
    1,132.79x = 1,656,653.11
  5. Step 5: Solve for x
    x = 1,656,653.11/1,132.79
  6. Step 6: Final answer
    x = 1,462.45

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.