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Finding the Fourth Proportional to 472.45, 652.10 and 315.35

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Solution

The fourth proportional to 472.45, 652.10 and 315.35 is: 435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.45 : 652.10 = 315.35 : x
  2. Step 2: Convert to fraction form
    472.45/652.10 = 315.35/x
  3. Step 3: Cross multiply
    472.45x = 652.10 × 315.35
  4. Step 4: Simplify right side
    472.45x = 205,636.47
  5. Step 5: Solve for x
    x = 205,636.47/472.45
  6. Step 6: Final answer
    x = 435.26

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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.