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Finding the Fourth Proportional to 700.58, 966.75 and 401.86

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Solution

The fourth proportional to 700.58, 966.75 and 401.86 is: 554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.58 : 966.75 = 401.86 : x
  2. Step 2: Convert to fraction form
    700.58/966.75 = 401.86/x
  3. Step 3: Cross multiply
    700.58x = 966.75 × 401.86
  4. Step 4: Simplify right side
    700.58x = 388,498.16
  5. Step 5: Solve for x
    x = 388,498.16/700.58
  6. Step 6: Final answer
    x = 554.54

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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.