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Finding the Fourth Proportional to 1,277.60, 1,762.98 and 718.03

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Solution

The fourth proportional to 1,277.60, 1,762.98 and 718.03 is: 990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.60 : 1,762.98 = 718.03 : x
  2. Step 2: Convert to fraction form
    1,277.60/1,762.98 = 718.03/x
  3. Step 3: Cross multiply
    1,277.60x = 1,762.98 × 718.03
  4. Step 4: Simplify right side
    1,277.60x = 1,265,872.53
  5. Step 5: Solve for x
    x = 1,265,872.53/1,277.60
  6. Step 6: Final answer
    x = 990.82

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1.5x scale

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.