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Finding the Fourth Proportional to 847.34, 1,165.80 and 747.32

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Solution

The fourth proportional to 847.34, 1,165.80 and 747.32 is: 1,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,165.80 = 747.32 : x
  2. Step 2: Convert to fraction form
    847.34/1,165.80 = 747.32/x
  3. Step 3: Cross multiply
    847.34x = 1,165.80 × 747.32
  4. Step 4: Simplify right side
    847.34x = 871,225.66
  5. Step 5: Solve for x
    x = 871,225.66/847.34
  6. Step 6: Final answer
    x = 1,028.19

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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.