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Finding the Fourth Proportional to 703.98, 1,050.81 and 653.22

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Solution

The fourth proportional to 703.98, 1,050.81 and 653.22 is: 975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 1,050.81 = 653.22 : x
  2. Step 2: Convert to fraction form
    703.98/1,050.81 = 653.22/x
  3. Step 3: Cross multiply
    703.98x = 1,050.81 × 653.22
  4. Step 4: Simplify right side
    703.98x = 686,410.11
  5. Step 5: Solve for x
    x = 686,410.11/703.98
  6. Step 6: Final answer
    x = 975.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.