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Finding the Fourth Proportional to 867.12, 1,303.11 and 434.58

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Solution

The fourth proportional to 867.12, 1,303.11 and 434.58 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.12 : 1,303.11 = 434.58 : x
  2. Step 2: Convert to fraction form
    867.12/1,303.11 = 434.58/x
  3. Step 3: Cross multiply
    867.12x = 1,303.11 × 434.58
  4. Step 4: Simplify right side
    867.12x = 566,305.54
  5. Step 5: Solve for x
    x = 566,305.54/867.12
  6. Step 6: Final answer
    x = 653.09

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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.