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Finding the Fourth Proportional to 651.24, 977.06 and 446.72

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Solution

The fourth proportional to 651.24, 977.06 and 446.72 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 977.06 = 446.72 : x
  2. Step 2: Convert to fraction form
    651.24/977.06 = 446.72/x
  3. Step 3: Cross multiply
    651.24x = 977.06 × 446.72
  4. Step 4: Simplify right side
    651.24x = 436,468.47
  5. Step 5: Solve for x
    x = 436,468.47/651.24
  6. Step 6: Final answer
    x = 670.21

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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.