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Finding the Fourth Proportional to 472.68, 703.72 and 470.40

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Solution

The fourth proportional to 472.68, 703.72 and 470.40 is: 700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 703.72 = 470.40 : x
  2. Step 2: Convert to fraction form
    472.68/703.72 = 470.40/x
  3. Step 3: Cross multiply
    472.68x = 703.72 × 470.40
  4. Step 4: Simplify right side
    472.68x = 331,029.89
  5. Step 5: Solve for x
    x = 331,029.89/472.68
  6. Step 6: Final answer
    x = 700.33

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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.