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Finding the Fourth Proportional to 64.17, 88.49 and 56.77

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Solution

The fourth proportional to 64.17, 88.49 and 56.77 is: 78.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.17 : 88.49 = 56.77 : x
  2. Step 2: Convert to fraction form
    64.17/88.49 = 56.77/x
  3. Step 3: Cross multiply
    64.17x = 88.49 × 56.77
  4. Step 4: Simplify right side
    64.17x = 5,023.50
  5. Step 5: Solve for x
    x = 5,023.50/64.17
  6. Step 6: Final answer
    x = 78.28

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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.