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Finding the Fourth Proportional to 846.34, 1,166.82 and 647.29

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Solution

The fourth proportional to 846.34, 1,166.82 and 647.29 is: 892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.34 : 1,166.82 = 647.29 : x
  2. Step 2: Convert to fraction form
    846.34/1,166.82 = 647.29/x
  3. Step 3: Cross multiply
    846.34x = 1,166.82 × 647.29
  4. Step 4: Simplify right side
    846.34x = 755,270.92
  5. Step 5: Solve for x
    x = 755,270.92/846.34
  6. Step 6: Final answer
    x = 892.40

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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.