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Finding the Fourth Proportional to 859.47, 1,186.14 and 527.82

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Solution

The fourth proportional to 859.47, 1,186.14 and 527.82 is: 728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.47 : 1,186.14 = 527.82 : x
  2. Step 2: Convert to fraction form
    859.47/1,186.14 = 527.82/x
  3. Step 3: Cross multiply
    859.47x = 1,186.14 × 527.82
  4. Step 4: Simplify right side
    859.47x = 626,068.41
  5. Step 5: Solve for x
    x = 626,068.41/859.47
  6. Step 6: Final answer
    x = 728.44

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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.