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Finding the Fourth Proportional to 53.37, 79.70 and 45.63

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Solution

The fourth proportional to 53.37, 79.70 and 45.63 is: 68.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.37 : 79.70 = 45.63 : x
  2. Step 2: Convert to fraction form
    53.37/79.70 = 45.63/x
  3. Step 3: Cross multiply
    53.37x = 79.70 × 45.63
  4. Step 4: Simplify right side
    53.37x = 3,636.48
  5. Step 5: Solve for x
    x = 3,636.48/53.37
  6. Step 6: Final answer
    x = 68.14

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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.