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Finding the Fourth Proportional to 703.68, 1,053.20 and 539.52

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Solution

The fourth proportional to 703.68, 1,053.20 and 539.52 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 1,053.20 = 539.52 : x
  2. Step 2: Convert to fraction form
    703.68/1,053.20 = 539.52/x
  3. Step 3: Cross multiply
    703.68x = 1,053.20 × 539.52
  4. Step 4: Simplify right side
    703.68x = 568,222.46
  5. Step 5: Solve for x
    x = 568,222.46/703.68
  6. Step 6: Final answer
    x = 807.50

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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.