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Finding the Fourth Proportional to 923.59, 1,384.29 and 429.33

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Solution

The fourth proportional to 923.59, 1,384.29 and 429.33 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.59 : 1,384.29 = 429.33 : x
  2. Step 2: Convert to fraction form
    923.59/1,384.29 = 429.33/x
  3. Step 3: Cross multiply
    923.59x = 1,384.29 × 429.33
  4. Step 4: Simplify right side
    923.59x = 594,316.81
  5. Step 5: Solve for x
    x = 594,316.81/923.59
  6. Step 6: Final answer
    x = 643.48

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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.