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Finding the Fourth Proportional to 651.29, 977.06 and 407.53

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Solution

The fourth proportional to 651.29, 977.06 and 407.53 is: 611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 977.06 = 407.53 : x
  2. Step 2: Convert to fraction form
    651.29/977.06 = 407.53/x
  3. Step 3: Cross multiply
    651.29x = 977.06 × 407.53
  4. Step 4: Simplify right side
    651.29x = 398,183.50
  5. Step 5: Solve for x
    x = 398,183.50/651.29
  6. Step 6: Final answer
    x = 611.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.