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Finding the Fourth Proportional to 890.51, 1,228.89 and 517.70

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Solution

The fourth proportional to 890.51, 1,228.89 and 517.70 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.51 : 1,228.89 = 517.70 : x
  2. Step 2: Convert to fraction form
    890.51/1,228.89 = 517.70/x
  3. Step 3: Cross multiply
    890.51x = 1,228.89 × 517.70
  4. Step 4: Simplify right side
    890.51x = 636,190.21
  5. Step 5: Solve for x
    x = 636,190.21/890.51
  6. Step 6: Final answer
    x = 714.42

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Double scale
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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.