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Finding the Fourth Proportional to 706.99, 975.84 and 427.40

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Solution

The fourth proportional to 706.99, 975.84 and 427.40 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.99 : 975.84 = 427.40 : x
  2. Step 2: Convert to fraction form
    706.99/975.84 = 427.40/x
  3. Step 3: Cross multiply
    706.99x = 975.84 × 427.40
  4. Step 4: Simplify right side
    706.99x = 417,074.02
  5. Step 5: Solve for x
    x = 417,074.02/706.99
  6. Step 6: Final answer
    x = 589.93

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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.