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Finding the Fourth Proportional to 1,237.06, 1,707.12 and 677.53

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Solution

The fourth proportional to 1,237.06, 1,707.12 and 677.53 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.06 : 1,707.12 = 677.53 : x
  2. Step 2: Convert to fraction form
    1,237.06/1,707.12 = 677.53/x
  3. Step 3: Cross multiply
    1,237.06x = 1,707.12 × 677.53
  4. Step 4: Simplify right side
    1,237.06x = 1,156,625.01
  5. Step 5: Solve for x
    x = 1,156,625.01/1,237.06
  6. Step 6: Final answer
    x = 934.98

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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.