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Finding the Fourth Proportional to 1,032.89, 1,426.56 and 700.76

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Solution

The fourth proportional to 1,032.89, 1,426.56 and 700.76 is: 967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.89 : 1,426.56 = 700.76 : x
  2. Step 2: Convert to fraction form
    1,032.89/1,426.56 = 700.76/x
  3. Step 3: Cross multiply
    1,032.89x = 1,426.56 × 700.76
  4. Step 4: Simplify right side
    1,032.89x = 999,676.19
  5. Step 5: Solve for x
    x = 999,676.19/1,032.89
  6. Step 6: Final answer
    x = 967.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.