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Finding the Fourth Proportional to 880.39, 1,215.24 and 585.73

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Solution

The fourth proportional to 880.39, 1,215.24 and 585.73 is: 808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,215.24 = 585.73 : x
  2. Step 2: Convert to fraction form
    880.39/1,215.24 = 585.73/x
  3. Step 3: Cross multiply
    880.39x = 1,215.24 × 585.73
  4. Step 4: Simplify right side
    880.39x = 711,802.53
  5. Step 5: Solve for x
    x = 711,802.53/880.39
  6. Step 6: Final answer
    x = 808.51

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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.