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Finding the Fourth Proportional to 922.51, 1,384.25 and 435.61

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Solution

The fourth proportional to 922.51, 1,384.25 and 435.61 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.51 : 1,384.25 = 435.61 : x
  2. Step 2: Convert to fraction form
    922.51/1,384.25 = 435.61/x
  3. Step 3: Cross multiply
    922.51x = 1,384.25 × 435.61
  4. Step 4: Simplify right side
    922.51x = 602,993.14
  5. Step 5: Solve for x
    x = 602,993.14/922.51
  6. Step 6: Final answer
    x = 653.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.