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Finding the Fourth Proportional to 703.07, 1,053.81 and 425.50

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Solution

The fourth proportional to 703.07, 1,053.81 and 425.50 is: 637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.07 : 1,053.81 = 425.50 : x
  2. Step 2: Convert to fraction form
    703.07/1,053.81 = 425.50/x
  3. Step 3: Cross multiply
    703.07x = 1,053.81 × 425.50
  4. Step 4: Simplify right side
    703.07x = 448,393.52
  5. Step 5: Solve for x
    x = 448,393.52/703.07
  6. Step 6: Final answer
    x = 637.76

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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.