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Finding the Fourth Proportional to 472.89, 652.55 and 263.07

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Solution

The fourth proportional to 472.89, 652.55 and 263.07 is: 363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 652.55 = 263.07 : x
  2. Step 2: Convert to fraction form
    472.89/652.55 = 263.07/x
  3. Step 3: Cross multiply
    472.89x = 652.55 × 263.07
  4. Step 4: Simplify right side
    472.89x = 171,663.07
  5. Step 5: Solve for x
    x = 171,663.07/472.89
  6. Step 6: Final answer
    x = 363.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.