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Finding the Fourth Proportional to 698.76, 964.44 and 419.15

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Solution

The fourth proportional to 698.76, 964.44 and 419.15 is: 578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 964.44 = 419.15 : x
  2. Step 2: Convert to fraction form
    698.76/964.44 = 419.15/x
  3. Step 3: Cross multiply
    698.76x = 964.44 × 419.15
  4. Step 4: Simplify right side
    698.76x = 404,240.20
  5. Step 5: Solve for x
    x = 404,240.20/698.76
  6. Step 6: Final answer
    x = 578.51

Related Problems

Find fourth proportional to 349.38, 482.22 and 209.57
Half scale
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Double scale
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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.