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Finding the Fourth Proportional to 1,291.97, 1,783.35 and 760.83

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Solution

The fourth proportional to 1,291.97, 1,783.35 and 760.83 is: 1,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.97 : 1,783.35 = 760.83 : x
  2. Step 2: Convert to fraction form
    1,291.97/1,783.35 = 760.83/x
  3. Step 3: Cross multiply
    1,291.97x = 1,783.35 × 760.83
  4. Step 4: Simplify right side
    1,291.97x = 1,356,826.18
  5. Step 5: Solve for x
    x = 1,356,826.18/1,291.97
  6. Step 6: Final answer
    x = 1,050.20

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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.