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Finding the Fourth Proportional to 1,263.60, 1,743.08 and 766.42

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Solution

The fourth proportional to 1,263.60, 1,743.08 and 766.42 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.60 : 1,743.08 = 766.42 : x
  2. Step 2: Convert to fraction form
    1,263.60/1,743.08 = 766.42/x
  3. Step 3: Cross multiply
    1,263.60x = 1,743.08 × 766.42
  4. Step 4: Simplify right side
    1,263.60x = 1,335,931.37
  5. Step 5: Solve for x
    x = 1,335,931.37/1,263.60
  6. Step 6: Final answer
    x = 1,057.24

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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.