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Finding the Fourth Proportional to 1,037.07, 1,430.76 and 617.43

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Solution

The fourth proportional to 1,037.07, 1,430.76 and 617.43 is: 851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.07 : 1,430.76 = 617.43 : x
  2. Step 2: Convert to fraction form
    1,037.07/1,430.76 = 617.43/x
  3. Step 3: Cross multiply
    1,037.07x = 1,430.76 × 617.43
  4. Step 4: Simplify right side
    1,037.07x = 883,394.15
  5. Step 5: Solve for x
    x = 883,394.15/1,037.07
  6. Step 6: Final answer
    x = 851.82

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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.