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Finding the Fourth Proportional to 882.19, 1,217.51 and 567.51

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Solution

The fourth proportional to 882.19, 1,217.51 and 567.51 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,217.51 = 567.51 : x
  2. Step 2: Convert to fraction form
    882.19/1,217.51 = 567.51/x
  3. Step 3: Cross multiply
    882.19x = 1,217.51 × 567.51
  4. Step 4: Simplify right side
    882.19x = 690,949.10
  5. Step 5: Solve for x
    x = 690,949.10/882.19
  6. Step 6: Final answer
    x = 783.22

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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.