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Finding the Fourth Proportional to 714.60, 986.13 and 466.02

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Solution

The fourth proportional to 714.60, 986.13 and 466.02 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 986.13 = 466.02 : x
  2. Step 2: Convert to fraction form
    714.60/986.13 = 466.02/x
  3. Step 3: Cross multiply
    714.60x = 986.13 × 466.02
  4. Step 4: Simplify right side
    714.60x = 459,556.30
  5. Step 5: Solve for x
    x = 459,556.30/714.60
  6. Step 6: Final answer
    x = 643.10

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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.