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Finding the Fourth Proportional to 882.47, 1,216.81 and 563.01

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Solution

The fourth proportional to 882.47, 1,216.81 and 563.01 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.47 : 1,216.81 = 563.01 : x
  2. Step 2: Convert to fraction form
    882.47/1,216.81 = 563.01/x
  3. Step 3: Cross multiply
    882.47x = 1,216.81 × 563.01
  4. Step 4: Simplify right side
    882.47x = 685,073.38
  5. Step 5: Solve for x
    x = 685,073.38/882.47
  6. Step 6: Final answer
    x = 776.31

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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.