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Finding the Fourth Proportional to 1,423.92, 1,965.02 and 864.24

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Solution

The fourth proportional to 1,423.92, 1,965.02 and 864.24 is: 1,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.92 : 1,965.02 = 864.24 : x
  2. Step 2: Convert to fraction form
    1,423.92/1,965.02 = 864.24/x
  3. Step 3: Cross multiply
    1,423.92x = 1,965.02 × 864.24
  4. Step 4: Simplify right side
    1,423.92x = 1,698,248.88
  5. Step 5: Solve for x
    x = 1,698,248.88/1,423.92
  6. Step 6: Final answer
    x = 1,192.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.