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Finding the Fourth Proportional to 816.34, 1,126.54 and 462.25

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Solution

The fourth proportional to 816.34, 1,126.54 and 462.25 is: 637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.34 : 1,126.54 = 462.25 : x
  2. Step 2: Convert to fraction form
    816.34/1,126.54 = 462.25/x
  3. Step 3: Cross multiply
    816.34x = 1,126.54 × 462.25
  4. Step 4: Simplify right side
    816.34x = 520,735.17
  5. Step 5: Solve for x
    x = 520,735.17/816.34
  6. Step 6: Final answer
    x = 637.89

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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.