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Finding the Fourth Proportional to 864.06, 1,296.69 and 431.52

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Solution

The fourth proportional to 864.06, 1,296.69 and 431.52 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.06 : 1,296.69 = 431.52 : x
  2. Step 2: Convert to fraction form
    864.06/1,296.69 = 431.52/x
  3. Step 3: Cross multiply
    864.06x = 1,296.69 × 431.52
  4. Step 4: Simplify right side
    864.06x = 559,547.67
  5. Step 5: Solve for x
    x = 559,547.67/864.06
  6. Step 6: Final answer
    x = 647.58

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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.