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Finding the Fourth Proportional to 52.47, 79.01 and 46.81

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Solution

The fourth proportional to 52.47, 79.01 and 46.81 is: 70.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 79.01 = 46.81 : x
  2. Step 2: Convert to fraction form
    52.47/79.01 = 46.81/x
  3. Step 3: Cross multiply
    52.47x = 79.01 × 46.81
  4. Step 4: Simplify right side
    52.47x = 3,698.46
  5. Step 5: Solve for x
    x = 3,698.46/52.47
  6. Step 6: Final answer
    x = 70.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.