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Finding the Fourth Proportional to 1,298.62, 1,948.28 and 432.94

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Solution

The fourth proportional to 1,298.62, 1,948.28 and 432.94 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.62 : 1,948.28 = 432.94 : x
  2. Step 2: Convert to fraction form
    1,298.62/1,948.28 = 432.94/x
  3. Step 3: Cross multiply
    1,298.62x = 1,948.28 × 432.94
  4. Step 4: Simplify right side
    1,298.62x = 843,488.34
  5. Step 5: Solve for x
    x = 843,488.34/1,298.62
  6. Step 6: Final answer
    x = 649.53

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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.