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Finding the Fourth Proportional to 923.58, 1,384.61 and 749.82

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Solution

The fourth proportional to 923.58, 1,384.61 and 749.82 is: 1,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.58 : 1,384.61 = 749.82 : x
  2. Step 2: Convert to fraction form
    923.58/1,384.61 = 749.82/x
  3. Step 3: Cross multiply
    923.58x = 1,384.61 × 749.82
  4. Step 4: Simplify right side
    923.58x = 1,038,209.71
  5. Step 5: Solve for x
    x = 1,038,209.71/923.58
  6. Step 6: Final answer
    x = 1,124.11

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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.