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Finding the Fourth Proportional to 57.02, 78.57 and 46.55

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Solution

The fourth proportional to 57.02, 78.57 and 46.55 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.57 = 46.55 : x
  2. Step 2: Convert to fraction form
    57.02/78.57 = 46.55/x
  3. Step 3: Cross multiply
    57.02x = 78.57 × 46.55
  4. Step 4: Simplify right side
    57.02x = 3,657.04
  5. Step 5: Solve for x
    x = 3,657.04/57.02
  6. Step 6: Final answer
    x = 64.14

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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.