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Finding the Fourth Proportional to 714.71, 986.70 and 465.90

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Solution

The fourth proportional to 714.71, 986.70 and 465.90 is: 643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 986.70 = 465.90 : x
  2. Step 2: Convert to fraction form
    714.71/986.70 = 465.90/x
  3. Step 3: Cross multiply
    714.71x = 986.70 × 465.90
  4. Step 4: Simplify right side
    714.71x = 459,703.53
  5. Step 5: Solve for x
    x = 459,703.53/714.71
  6. Step 6: Final answer
    x = 643.20

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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.