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Finding the Fourth Proportional to 472.95, 705.90 and 403.08

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Solution

The fourth proportional to 472.95, 705.90 and 403.08 is: 601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.95 : 705.90 = 403.08 : x
  2. Step 2: Convert to fraction form
    472.95/705.90 = 403.08/x
  3. Step 3: Cross multiply
    472.95x = 705.90 × 403.08
  4. Step 4: Simplify right side
    472.95x = 284,534.17
  5. Step 5: Solve for x
    x = 284,534.17/472.95
  6. Step 6: Final answer
    x = 601.62

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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.