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Finding the Fourth Proportional to 699.41, 964.71 and 419.45

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Solution

The fourth proportional to 699.41, 964.71 and 419.45 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.41 : 964.71 = 419.45 : x
  2. Step 2: Convert to fraction form
    699.41/964.71 = 419.45/x
  3. Step 3: Cross multiply
    699.41x = 964.71 × 419.45
  4. Step 4: Simplify right side
    699.41x = 404,642.79
  5. Step 5: Solve for x
    x = 404,642.79/699.41
  6. Step 6: Final answer
    x = 578.55

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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.