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Finding the Fourth Proportional to 1,277.07, 1,762.31 and 717.60

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Solution

The fourth proportional to 1,277.07, 1,762.31 and 717.60 is: 990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.07 : 1,762.31 = 717.60 : x
  2. Step 2: Convert to fraction form
    1,277.07/1,762.31 = 717.60/x
  3. Step 3: Cross multiply
    1,277.07x = 1,762.31 × 717.60
  4. Step 4: Simplify right side
    1,277.07x = 1,264,624.84
  5. Step 5: Solve for x
    x = 1,264,624.84/1,277.07
  6. Step 6: Final answer
    x = 990.26

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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.