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Finding the Fourth Proportional to 472.86, 703.68 and 468

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Solution

The fourth proportional to 472.86, 703.68 and 468 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.86 : 703.68 = 468 : x
  2. Step 2: Convert to fraction form
    472.86/703.68 = 468/x
  3. Step 3: Cross multiply
    472.86x = 703.68 × 468
  4. Step 4: Simplify right side
    472.86x = 329,322.24
  5. Step 5: Solve for x
    x = 329,322.24/472.86
  6. Step 6: Final answer
    x = 696.45

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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.