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Finding the Fourth Proportional to 472.95, 652.59 and 286.47

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Solution

The fourth proportional to 472.95, 652.59 and 286.47 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.95 : 652.59 = 286.47 : x
  2. Step 2: Convert to fraction form
    472.95/652.59 = 286.47/x
  3. Step 3: Cross multiply
    472.95x = 652.59 × 286.47
  4. Step 4: Simplify right side
    472.95x = 186,947.46
  5. Step 5: Solve for x
    x = 186,947.46/472.95
  6. Step 6: Final answer
    x = 395.28

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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.