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Finding the Fourth Proportional to 685.19, 946.04 and 618.66

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Solution

The fourth proportional to 685.19, 946.04 and 618.66 is: 854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.19 : 946.04 = 618.66 : x
  2. Step 2: Convert to fraction form
    685.19/946.04 = 618.66/x
  3. Step 3: Cross multiply
    685.19x = 946.04 × 618.66
  4. Step 4: Simplify right side
    685.19x = 585,277.11
  5. Step 5: Solve for x
    x = 585,277.11/685.19
  6. Step 6: Final answer
    x = 854.18

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Half scale
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Double scale
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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.