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Finding the Fourth Proportional to 867.30, 1,196.52 and 513.18

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Solution

The fourth proportional to 867.30, 1,196.52 and 513.18 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.30 : 1,196.52 = 513.18 : x
  2. Step 2: Convert to fraction form
    867.30/1,196.52 = 513.18/x
  3. Step 3: Cross multiply
    867.30x = 1,196.52 × 513.18
  4. Step 4: Simplify right side
    867.30x = 614,030.13
  5. Step 5: Solve for x
    x = 614,030.13/867.30
  6. Step 6: Final answer
    x = 707.98

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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.