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Finding the Fourth Proportional to 734.29, 1,106.58 and 688.15

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Solution

The fourth proportional to 734.29, 1,106.58 and 688.15 is: 1,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.29 : 1,106.58 = 688.15 : x
  2. Step 2: Convert to fraction form
    734.29/1,106.58 = 688.15/x
  3. Step 3: Cross multiply
    734.29x = 1,106.58 × 688.15
  4. Step 4: Simplify right side
    734.29x = 761,493.03
  5. Step 5: Solve for x
    x = 761,493.03/734.29
  6. Step 6: Final answer
    x = 1,037.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.