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Finding the Fourth Proportional to 1,037.45, 1,430.90 and 734.49

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Solution

The fourth proportional to 1,037.45, 1,430.90 and 734.49 is: 1,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.45 : 1,430.90 = 734.49 : x
  2. Step 2: Convert to fraction form
    1,037.45/1,430.90 = 734.49/x
  3. Step 3: Cross multiply
    1,037.45x = 1,430.90 × 734.49
  4. Step 4: Simplify right side
    1,037.45x = 1,050,978.07
  5. Step 5: Solve for x
    x = 1,050,978.07/1,037.45
  6. Step 6: Final answer
    x = 1,013.04

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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.