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Finding the Fourth Proportional to 700.65, 966.36 and 514.06

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Solution

The fourth proportional to 700.65, 966.36 and 514.06 is: 709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.65 : 966.36 = 514.06 : x
  2. Step 2: Convert to fraction form
    700.65/966.36 = 514.06/x
  3. Step 3: Cross multiply
    700.65x = 966.36 × 514.06
  4. Step 4: Simplify right side
    700.65x = 496,767.02
  5. Step 5: Solve for x
    x = 496,767.02/700.65
  6. Step 6: Final answer
    x = 709.01

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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.