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Finding the Fourth Proportional to 861.83, 1,292.80 and 245.59

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Solution

The fourth proportional to 861.83, 1,292.80 and 245.59 is: 368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.83 : 1,292.80 = 245.59 : x
  2. Step 2: Convert to fraction form
    861.83/1,292.80 = 245.59/x
  3. Step 3: Cross multiply
    861.83x = 1,292.80 × 245.59
  4. Step 4: Simplify right side
    861.83x = 317,498.75
  5. Step 5: Solve for x
    x = 317,498.75/861.83
  6. Step 6: Final answer
    x = 368.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.