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Finding the Fourth Proportional to 1,177.04, 1,624.38 and 783.80

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Solution

The fourth proportional to 1,177.04, 1,624.38 and 783.80 is: 1,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.04 : 1,624.38 = 783.80 : x
  2. Step 2: Convert to fraction form
    1,177.04/1,624.38 = 783.80/x
  3. Step 3: Cross multiply
    1,177.04x = 1,624.38 × 783.80
  4. Step 4: Simplify right side
    1,177.04x = 1,273,189.04
  5. Step 5: Solve for x
    x = 1,273,189.04/1,177.04
  6. Step 6: Final answer
    x = 1,081.69

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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.