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Finding the Fourth Proportional to 922.19, 1,272.62 and 508.19

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Solution

The fourth proportional to 922.19, 1,272.62 and 508.19 is: 701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.19 : 1,272.62 = 508.19 : x
  2. Step 2: Convert to fraction form
    922.19/1,272.62 = 508.19/x
  3. Step 3: Cross multiply
    922.19x = 1,272.62 × 508.19
  4. Step 4: Simplify right side
    922.19x = 646,732.76
  5. Step 5: Solve for x
    x = 646,732.76/922.19
  6. Step 6: Final answer
    x = 701.30

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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.