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Finding the Fourth Proportional to 900.79, 1,344.68 and 864.34

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Solution

The fourth proportional to 900.79, 1,344.68 and 864.34 is: 1,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.79 : 1,344.68 = 864.34 : x
  2. Step 2: Convert to fraction form
    900.79/1,344.68 = 864.34/x
  3. Step 3: Cross multiply
    900.79x = 1,344.68 × 864.34
  4. Step 4: Simplify right side
    900.79x = 1,162,260.71
  5. Step 5: Solve for x
    x = 1,162,260.71/900.79
  6. Step 6: Final answer
    x = 1,290.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.