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Finding the Fourth Proportional to 703.40, 1,053.42 and 651.44

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Solution

The fourth proportional to 703.40, 1,053.42 and 651.44 is: 975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.40 : 1,053.42 = 651.44 : x
  2. Step 2: Convert to fraction form
    703.40/1,053.42 = 651.44/x
  3. Step 3: Cross multiply
    703.40x = 1,053.42 × 651.44
  4. Step 4: Simplify right side
    703.40x = 686,239.92
  5. Step 5: Solve for x
    x = 686,239.92/703.40
  6. Step 6: Final answer
    x = 975.60

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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.