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Finding the Fourth Proportional to 669.41, 924.15 and 459.71

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Solution

The fourth proportional to 669.41, 924.15 and 459.71 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 924.15 = 459.71 : x
  2. Step 2: Convert to fraction form
    669.41/924.15 = 459.71/x
  3. Step 3: Cross multiply
    669.41x = 924.15 × 459.71
  4. Step 4: Simplify right side
    669.41x = 424,834.08
  5. Step 5: Solve for x
    x = 424,834.08/669.41
  6. Step 6: Final answer
    x = 634.64

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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.