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Finding the Fourth Proportional to 1,298.60, 1,946.91 and 649.79

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Solution

The fourth proportional to 1,298.60, 1,946.91 and 649.79 is: 974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.60 : 1,946.91 = 649.79 : x
  2. Step 2: Convert to fraction form
    1,298.60/1,946.91 = 649.79/x
  3. Step 3: Cross multiply
    1,298.60x = 1,946.91 × 649.79
  4. Step 4: Simplify right side
    1,298.60x = 1,265,082.65
  5. Step 5: Solve for x
    x = 1,265,082.65/1,298.60
  6. Step 6: Final answer
    x = 974.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.