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Finding the Fourth Proportional to 654.76, 977.38 and 605.96

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Solution

The fourth proportional to 654.76, 977.38 and 605.96 is: 904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 977.38 = 605.96 : x
  2. Step 2: Convert to fraction form
    654.76/977.38 = 605.96/x
  3. Step 3: Cross multiply
    654.76x = 977.38 × 605.96
  4. Step 4: Simplify right side
    654.76x = 592,250.45
  5. Step 5: Solve for x
    x = 592,250.45/654.76
  6. Step 6: Final answer
    x = 904.53

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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.