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Finding the Fourth Proportional to 890.14, 1,228.67 and 517.31

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Solution

The fourth proportional to 890.14, 1,228.67 and 517.31 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.14 : 1,228.67 = 517.31 : x
  2. Step 2: Convert to fraction form
    890.14/1,228.67 = 517.31/x
  3. Step 3: Cross multiply
    890.14x = 1,228.67 × 517.31
  4. Step 4: Simplify right side
    890.14x = 635,603.28
  5. Step 5: Solve for x
    x = 635,603.28/890.14
  6. Step 6: Final answer
    x = 714.05

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1.5x scale

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.