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Finding the Fourth Proportional to 651.40, 898.48 and 464.88

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Solution

The fourth proportional to 651.40, 898.48 and 464.88 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 898.48 = 464.88 : x
  2. Step 2: Convert to fraction form
    651.40/898.48 = 464.88/x
  3. Step 3: Cross multiply
    651.40x = 898.48 × 464.88
  4. Step 4: Simplify right side
    651.40x = 417,685.38
  5. Step 5: Solve for x
    x = 417,685.38/651.40
  6. Step 6: Final answer
    x = 641.21

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1.5x scale

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.