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Finding the Fourth Proportional to 753.84, 1,130.13 and 342.39

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Solution

The fourth proportional to 753.84, 1,130.13 and 342.39 is: 513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,130.13 = 342.39 : x
  2. Step 2: Convert to fraction form
    753.84/1,130.13 = 342.39/x
  3. Step 3: Cross multiply
    753.84x = 1,130.13 × 342.39
  4. Step 4: Simplify right side
    753.84x = 386,945.21
  5. Step 5: Solve for x
    x = 386,945.21/753.84
  6. Step 6: Final answer
    x = 513.30

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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.