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Finding the Fourth Proportional to 651.56, 898.21 and 464.72

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Solution

The fourth proportional to 651.56, 898.21 and 464.72 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.56 : 898.21 = 464.72 : x
  2. Step 2: Convert to fraction form
    651.56/898.21 = 464.72/x
  3. Step 3: Cross multiply
    651.56x = 898.21 × 464.72
  4. Step 4: Simplify right side
    651.56x = 417,413.83
  5. Step 5: Solve for x
    x = 417,413.83/651.56
  6. Step 6: Final answer
    x = 640.64

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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.