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Finding the Fourth Proportional to 698.77, 963.47 and 512.19

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Solution

The fourth proportional to 698.77, 963.47 and 512.19 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.77 : 963.47 = 512.19 : x
  2. Step 2: Convert to fraction form
    698.77/963.47 = 512.19/x
  3. Step 3: Cross multiply
    698.77x = 963.47 × 512.19
  4. Step 4: Simplify right side
    698.77x = 493,477.14
  5. Step 5: Solve for x
    x = 493,477.14/698.77
  6. Step 6: Final answer
    x = 706.21

Related Problems

Find fourth proportional to 349.38, 481.73 and 256.10
Half scale
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Double scale
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Similar ratio
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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.