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Finding the Fourth Proportional to 56.48, 78 and 46.88

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Solution

The fourth proportional to 56.48, 78 and 46.88 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.48 : 78 = 46.88 : x
  2. Step 2: Convert to fraction form
    56.48/78 = 46.88/x
  3. Step 3: Cross multiply
    56.48x = 78 × 46.88
  4. Step 4: Simplify right side
    56.48x = 3,656.64
  5. Step 5: Solve for x
    x = 3,656.64/56.48
  6. Step 6: Final answer
    x = 64.74

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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.