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Finding the Fourth Proportional to 1,439.99, 2,159.91 and 452.78

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Solution

The fourth proportional to 1,439.99, 2,159.91 and 452.78 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.99 : 2,159.91 = 452.78 : x
  2. Step 2: Convert to fraction form
    1,439.99/2,159.91 = 452.78/x
  3. Step 3: Cross multiply
    1,439.99x = 2,159.91 × 452.78
  4. Step 4: Simplify right side
    1,439.99x = 977,953.25
  5. Step 5: Solve for x
    x = 977,953.25/1,439.99
  6. Step 6: Final answer
    x = 679.14

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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.