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Finding the Fourth Proportional to 873.12, 1,309.98 and 386.52

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Solution

The fourth proportional to 873.12, 1,309.98 and 386.52 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,309.98 = 386.52 : x
  2. Step 2: Convert to fraction form
    873.12/1,309.98 = 386.52/x
  3. Step 3: Cross multiply
    873.12x = 1,309.98 × 386.52
  4. Step 4: Simplify right side
    873.12x = 506,333.47
  5. Step 5: Solve for x
    x = 506,333.47/873.12
  6. Step 6: Final answer
    x = 579.91

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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.