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Finding the Fourth Proportional to 923.54, 1,386.75 and 491.54

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Solution

The fourth proportional to 923.54, 1,386.75 and 491.54 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.54 : 1,386.75 = 491.54 : x
  2. Step 2: Convert to fraction form
    923.54/1,386.75 = 491.54/x
  3. Step 3: Cross multiply
    923.54x = 1,386.75 × 491.54
  4. Step 4: Simplify right side
    923.54x = 681,643.10
  5. Step 5: Solve for x
    x = 681,643.10/923.54
  6. Step 6: Final answer
    x = 738.08

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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.