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Finding the Fourth Proportional to 743.95, 1,114.62 and 524.17

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Solution

The fourth proportional to 743.95, 1,114.62 and 524.17 is: 785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.95 : 1,114.62 = 524.17 : x
  2. Step 2: Convert to fraction form
    743.95/1,114.62 = 524.17/x
  3. Step 3: Cross multiply
    743.95x = 1,114.62 × 524.17
  4. Step 4: Simplify right side
    743.95x = 584,250.37
  5. Step 5: Solve for x
    x = 584,250.37/743.95
  6. Step 6: Final answer
    x = 785.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.