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Finding the Fourth Proportional to 846.23, 1,166.42 and 714.78

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Solution

The fourth proportional to 846.23, 1,166.42 and 714.78 is: 985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.23 : 1,166.42 = 714.78 : x
  2. Step 2: Convert to fraction form
    846.23/1,166.42 = 714.78/x
  3. Step 3: Cross multiply
    846.23x = 1,166.42 × 714.78
  4. Step 4: Simplify right side
    846.23x = 833,730.11
  5. Step 5: Solve for x
    x = 833,730.11/846.23
  6. Step 6: Final answer
    x = 985.23

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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.