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Finding the Fourth Proportional to 64.57, 89.05 and 47.02

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Solution

The fourth proportional to 64.57, 89.05 and 47.02 is: 64.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.57 : 89.05 = 47.02 : x
  2. Step 2: Convert to fraction form
    64.57/89.05 = 47.02/x
  3. Step 3: Cross multiply
    64.57x = 89.05 × 47.02
  4. Step 4: Simplify right side
    64.57x = 4,186.90
  5. Step 5: Solve for x
    x = 4,186.90/64.57
  6. Step 6: Final answer
    x = 64.84

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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.