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Finding the Fourth Proportional to 816.21, 1,126.20 and 501.53

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Solution

The fourth proportional to 816.21, 1,126.20 and 501.53 is: 692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.21 : 1,126.20 = 501.53 : x
  2. Step 2: Convert to fraction form
    816.21/1,126.20 = 501.53/x
  3. Step 3: Cross multiply
    816.21x = 1,126.20 × 501.53
  4. Step 4: Simplify right side
    816.21x = 564,819.34
  5. Step 5: Solve for x
    x = 564,819.34/816.21
  6. Step 6: Final answer
    x = 692.00

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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.