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Finding the Fourth Proportional to 1,094.79, 1,648.74 and 922.53

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Solution

The fourth proportional to 1,094.79, 1,648.74 and 922.53 is: 1,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.79 : 1,648.74 = 922.53 : x
  2. Step 2: Convert to fraction form
    1,094.79/1,648.74 = 922.53/x
  3. Step 3: Cross multiply
    1,094.79x = 1,648.74 × 922.53
  4. Step 4: Simplify right side
    1,094.79x = 1,521,012.11
  5. Step 5: Solve for x
    x = 1,521,012.11/1,094.79
  6. Step 6: Final answer
    x = 1,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.