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Finding the Fourth Proportional to 1,423.86, 1,965.16 and 864.70

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Solution

The fourth proportional to 1,423.86, 1,965.16 and 864.70 is: 1,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.86 : 1,965.16 = 864.70 : x
  2. Step 2: Convert to fraction form
    1,423.86/1,965.16 = 864.70/x
  3. Step 3: Cross multiply
    1,423.86x = 1,965.16 × 864.70
  4. Step 4: Simplify right side
    1,423.86x = 1,699,270.20
  5. Step 5: Solve for x
    x = 1,699,270.20/1,423.86
  6. Step 6: Final answer
    x = 1,193.43

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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.