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Finding the Fourth Proportional to 468.69, 699.63 and 430.17

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Solution

The fourth proportional to 468.69, 699.63 and 430.17 is: 642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 699.63 = 430.17 : x
  2. Step 2: Convert to fraction form
    468.69/699.63 = 430.17/x
  3. Step 3: Cross multiply
    468.69x = 699.63 × 430.17
  4. Step 4: Simplify right side
    468.69x = 300,959.84
  5. Step 5: Solve for x
    x = 300,959.84/468.69
  6. Step 6: Final answer
    x = 642.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.