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Finding the Fourth Proportional to 65.79, 97.47 and 65.10

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Solution

The fourth proportional to 65.79, 97.47 and 65.10 is: 96.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.79 : 97.47 = 65.10 : x
  2. Step 2: Convert to fraction form
    65.79/97.47 = 65.10/x
  3. Step 3: Cross multiply
    65.79x = 97.47 × 65.10
  4. Step 4: Simplify right side
    65.79x = 6,345.30
  5. Step 5: Solve for x
    x = 6,345.30/65.79
  6. Step 6: Final answer
    x = 96.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.