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Finding the Fourth Proportional to 922.49, 1,384.03 and 435.47

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Solution

The fourth proportional to 922.49, 1,384.03 and 435.47 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.49 : 1,384.03 = 435.47 : x
  2. Step 2: Convert to fraction form
    922.49/1,384.03 = 435.47/x
  3. Step 3: Cross multiply
    922.49x = 1,384.03 × 435.47
  4. Step 4: Simplify right side
    922.49x = 602,703.54
  5. Step 5: Solve for x
    x = 602,703.54/922.49
  6. Step 6: Final answer
    x = 653.35

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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.