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Finding the Fourth Proportional to 865.60, 1,303.08 and 790.27

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Solution

The fourth proportional to 865.60, 1,303.08 and 790.27 is: 1,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,303.08 = 790.27 : x
  2. Step 2: Convert to fraction form
    865.60/1,303.08 = 790.27/x
  3. Step 3: Cross multiply
    865.60x = 1,303.08 × 790.27
  4. Step 4: Simplify right side
    865.60x = 1,029,788.29
  5. Step 5: Solve for x
    x = 1,029,788.29/865.60
  6. Step 6: Final answer
    x = 1,189.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.