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Finding the Fourth Proportional to 771.46, 1,066.56 and 585.40

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Solution

The fourth proportional to 771.46, 1,066.56 and 585.40 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.46 : 1,066.56 = 585.40 : x
  2. Step 2: Convert to fraction form
    771.46/1,066.56 = 585.40/x
  3. Step 3: Cross multiply
    771.46x = 1,066.56 × 585.40
  4. Step 4: Simplify right side
    771.46x = 624,364.22
  5. Step 5: Solve for x
    x = 624,364.22/771.46
  6. Step 6: Final answer
    x = 809.33

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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.