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Finding the Fourth Proportional to 700.38, 966.78 and 569.16

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Solution

The fourth proportional to 700.38, 966.78 and 569.16 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 966.78 = 569.16 : x
  2. Step 2: Convert to fraction form
    700.38/966.78 = 569.16/x
  3. Step 3: Cross multiply
    700.38x = 966.78 × 569.16
  4. Step 4: Simplify right side
    700.38x = 550,252.50
  5. Step 5: Solve for x
    x = 550,252.50/700.38
  6. Step 6: Final answer
    x = 785.65

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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.