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Finding the Fourth Proportional to 703.49, 1,053.71 and 395.18

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Solution

The fourth proportional to 703.49, 1,053.71 and 395.18 is: 591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.49 : 1,053.71 = 395.18 : x
  2. Step 2: Convert to fraction form
    703.49/1,053.71 = 395.18/x
  3. Step 3: Cross multiply
    703.49x = 1,053.71 × 395.18
  4. Step 4: Simplify right side
    703.49x = 416,405.78
  5. Step 5: Solve for x
    x = 416,405.78/703.49
  6. Step 6: Final answer
    x = 591.91

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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.