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Finding the Fourth Proportional to 923.08, 1,385.02 and 490.26

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Solution

The fourth proportional to 923.08, 1,385.02 and 490.26 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,385.02 = 490.26 : x
  2. Step 2: Convert to fraction form
    923.08/1,385.02 = 490.26/x
  3. Step 3: Cross multiply
    923.08x = 1,385.02 × 490.26
  4. Step 4: Simplify right side
    923.08x = 679,019.91
  5. Step 5: Solve for x
    x = 679,019.91/923.08
  6. Step 6: Final answer
    x = 735.60

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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.