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Finding the Fourth Proportional to 1,423.79, 1,965.45 and 864.44

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Solution

The fourth proportional to 1,423.79, 1,965.45 and 864.44 is: 1,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.79 : 1,965.45 = 864.44 : x
  2. Step 2: Convert to fraction form
    1,423.79/1,965.45 = 864.44/x
  3. Step 3: Cross multiply
    1,423.79x = 1,965.45 × 864.44
  4. Step 4: Simplify right side
    1,423.79x = 1,699,013.60
  5. Step 5: Solve for x
    x = 1,699,013.60/1,423.79
  6. Step 6: Final answer
    x = 1,193.30

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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.