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Finding the Fourth Proportional to 706.42, 975.12 and 445.19

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Solution

The fourth proportional to 706.42, 975.12 and 445.19 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 975.12 = 445.19 : x
  2. Step 2: Convert to fraction form
    706.42/975.12 = 445.19/x
  3. Step 3: Cross multiply
    706.42x = 975.12 × 445.19
  4. Step 4: Simplify right side
    706.42x = 434,113.67
  5. Step 5: Solve for x
    x = 434,113.67/706.42
  6. Step 6: Final answer
    x = 614.53

Related Problems

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Half scale
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Double scale
Find fourth proportional to 707.42, 976.50 and 446.19
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.