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Finding the Fourth Proportional to 59.89, 89.29 and 57.01

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Solution

The fourth proportional to 59.89, 89.29 and 57.01 is: 84.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.89 : 89.29 = 57.01 : x
  2. Step 2: Convert to fraction form
    59.89/89.29 = 57.01/x
  3. Step 3: Cross multiply
    59.89x = 89.29 × 57.01
  4. Step 4: Simplify right side
    59.89x = 5,090.06
  5. Step 5: Solve for x
    x = 5,090.06/59.89
  6. Step 6: Final answer
    x = 84.99

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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.