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Finding the Fourth Proportional to 472.85, 705.02 and 454.80

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Solution

The fourth proportional to 472.85, 705.02 and 454.80 is: 678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 705.02 = 454.80 : x
  2. Step 2: Convert to fraction form
    472.85/705.02 = 454.80/x
  3. Step 3: Cross multiply
    472.85x = 705.02 × 454.80
  4. Step 4: Simplify right side
    472.85x = 320,643.10
  5. Step 5: Solve for x
    x = 320,643.10/472.85
  6. Step 6: Final answer
    x = 678.11

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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.