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Finding the Fourth Proportional to 897.74, 1,347.87 and 459.31

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Solution

The fourth proportional to 897.74, 1,347.87 and 459.31 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.74 : 1,347.87 = 459.31 : x
  2. Step 2: Convert to fraction form
    897.74/1,347.87 = 459.31/x
  3. Step 3: Cross multiply
    897.74x = 1,347.87 × 459.31
  4. Step 4: Simplify right side
    897.74x = 619,086.66
  5. Step 5: Solve for x
    x = 619,086.66/897.74
  6. Step 6: Final answer
    x = 689.60

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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.