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Finding the Fourth Proportional to 714.10, 985.11 and 465.33

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Solution

The fourth proportional to 714.10, 985.11 and 465.33 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 985.11 = 465.33 : x
  2. Step 2: Convert to fraction form
    714.10/985.11 = 465.33/x
  3. Step 3: Cross multiply
    714.10x = 985.11 × 465.33
  4. Step 4: Simplify right side
    714.10x = 458,401.24
  5. Step 5: Solve for x
    x = 458,401.24/714.10
  6. Step 6: Final answer
    x = 641.93

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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.