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Finding the Fourth Proportional to 883.54, 1,219.44 and 585.10

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Solution

The fourth proportional to 883.54, 1,219.44 and 585.10 is: 807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.54 : 1,219.44 = 585.10 : x
  2. Step 2: Convert to fraction form
    883.54/1,219.44 = 585.10/x
  3. Step 3: Cross multiply
    883.54x = 1,219.44 × 585.10
  4. Step 4: Simplify right side
    883.54x = 713,494.34
  5. Step 5: Solve for x
    x = 713,494.34/883.54
  6. Step 6: Final answer
    x = 807.54

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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.