Home / 1,434.30-2,151.45-784.70

Finding the Fourth Proportional to 1,434.30, 2,151.45 and 784.70

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Solution

The fourth proportional to 1,434.30, 2,151.45 and 784.70 is: 1,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.30 : 2,151.45 = 784.70 : x
  2. Step 2: Convert to fraction form
    1,434.30/2,151.45 = 784.70/x
  3. Step 3: Cross multiply
    1,434.30x = 2,151.45 × 784.70
  4. Step 4: Simplify right side
    1,434.30x = 1,688,242.82
  5. Step 5: Solve for x
    x = 1,688,242.82/1,434.30
  6. Step 6: Final answer
    x = 1,177.05

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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.