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Finding the Fourth Proportional to 753.81, 1,130.60 and 291.80

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Solution

The fourth proportional to 753.81, 1,130.60 and 291.80 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.81 : 1,130.60 = 291.80 : x
  2. Step 2: Convert to fraction form
    753.81/1,130.60 = 291.80/x
  3. Step 3: Cross multiply
    753.81x = 1,130.60 × 291.80
  4. Step 4: Simplify right side
    753.81x = 329,907.62
  5. Step 5: Solve for x
    x = 329,907.62/753.81
  6. Step 6: Final answer
    x = 437.65

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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.