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Finding the Fourth Proportional to 698.76, 964.35 and 419.04

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Solution

The fourth proportional to 698.76, 964.35 and 419.04 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 964.35 = 419.04 : x
  2. Step 2: Convert to fraction form
    698.76/964.35 = 419.04/x
  3. Step 3: Cross multiply
    698.76x = 964.35 × 419.04
  4. Step 4: Simplify right side
    698.76x = 404,101.22
  5. Step 5: Solve for x
    x = 404,101.22/698.76
  6. Step 6: Final answer
    x = 578.31

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Find fourth proportional to 349.38, 482.18 and 209.52
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.