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Finding the Fourth Proportional to 816.47, 1,126.93 and 501.94

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Solution

The fourth proportional to 816.47, 1,126.93 and 501.94 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.47 : 1,126.93 = 501.94 : x
  2. Step 2: Convert to fraction form
    816.47/1,126.93 = 501.94/x
  3. Step 3: Cross multiply
    816.47x = 1,126.93 × 501.94
  4. Step 4: Simplify right side
    816.47x = 565,652.34
  5. Step 5: Solve for x
    x = 565,652.34/816.47
  6. Step 6: Final answer
    x = 692.80

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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.