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Finding the Fourth Proportional to 753.74, 1,130.22 and 260.00

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Solution

The fourth proportional to 753.74, 1,130.22 and 260.00 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.74 : 1,130.22 = 260.00 : x
  2. Step 2: Convert to fraction form
    753.74/1,130.22 = 260.00/x
  3. Step 3: Cross multiply
    753.74x = 1,130.22 × 260.00
  4. Step 4: Simplify right side
    753.74x = 293,851.55
  5. Step 5: Solve for x
    x = 293,851.55/753.74
  6. Step 6: Final answer
    x = 389.86

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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.