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Finding the Fourth Proportional to 867.24, 1,301.10 and 354.60

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Solution

The fourth proportional to 867.24, 1,301.10 and 354.60 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.24 : 1,301.10 = 354.60 : x
  2. Step 2: Convert to fraction form
    867.24/1,301.10 = 354.60/x
  3. Step 3: Cross multiply
    867.24x = 1,301.10 × 354.60
  4. Step 4: Simplify right side
    867.24x = 461,370.06
  5. Step 5: Solve for x
    x = 461,370.06/867.24
  6. Step 6: Final answer
    x = 532.00

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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.