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Finding the Fourth Proportional to 705.95, 974.18 and 411.16

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Solution

The fourth proportional to 705.95, 974.18 and 411.16 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.95 : 974.18 = 411.16 : x
  2. Step 2: Convert to fraction form
    705.95/974.18 = 411.16/x
  3. Step 3: Cross multiply
    705.95x = 974.18 × 411.16
  4. Step 4: Simplify right side
    705.95x = 400,543.85
  5. Step 5: Solve for x
    x = 400,543.85/705.95
  6. Step 6: Final answer
    x = 567.38

Related Problems

Find fourth proportional to 352.98, 487.09 and 205.58
Half scale
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Double scale
Find fourth proportional to 706.95, 975.56 and 412.16
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.