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Finding the Fourth Proportional to 472.32, 711.72 and 468.36

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Solution

The fourth proportional to 472.32, 711.72 and 468.36 is: 705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 711.72 = 468.36 : x
  2. Step 2: Convert to fraction form
    472.32/711.72 = 468.36/x
  3. Step 3: Cross multiply
    472.32x = 711.72 × 468.36
  4. Step 4: Simplify right side
    472.32x = 333,341.18
  5. Step 5: Solve for x
    x = 333,341.18/472.32
  6. Step 6: Final answer
    x = 705.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.