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Finding the Fourth Proportional to 64.90, 89.47 and 46.45

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Solution

The fourth proportional to 64.90, 89.47 and 46.45 is: 64.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 89.47 = 46.45 : x
  2. Step 2: Convert to fraction form
    64.90/89.47 = 46.45/x
  3. Step 3: Cross multiply
    64.90x = 89.47 × 46.45
  4. Step 4: Simplify right side
    64.90x = 4,155.88
  5. Step 5: Solve for x
    x = 4,155.88/64.90
  6. Step 6: Final answer
    x = 64.04

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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.