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Finding the Fourth Proportional to 65.47, 97.70 and 58.64

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Solution

The fourth proportional to 65.47, 97.70 and 58.64 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.47 : 97.70 = 58.64 : x
  2. Step 2: Convert to fraction form
    65.47/97.70 = 58.64/x
  3. Step 3: Cross multiply
    65.47x = 97.70 × 58.64
  4. Step 4: Simplify right side
    65.47x = 5,728.35
  5. Step 5: Solve for x
    x = 5,728.35/65.47
  6. Step 6: Final answer
    x = 87.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.