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Finding the Fourth Proportional to 1,298.64, 1,948.68 and 433.20

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Solution

The fourth proportional to 1,298.64, 1,948.68 and 433.20 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.64 : 1,948.68 = 433.20 : x
  2. Step 2: Convert to fraction form
    1,298.64/1,948.68 = 433.20/x
  3. Step 3: Cross multiply
    1,298.64x = 1,948.68 × 433.20
  4. Step 4: Simplify right side
    1,298.64x = 844,168.18
  5. Step 5: Solve for x
    x = 844,168.18/1,298.64
  6. Step 6: Final answer
    x = 650.04

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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.