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Finding the Fourth Proportional to 923.90, 1,386.06 and 307.56

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Solution

The fourth proportional to 923.90, 1,386.06 and 307.56 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.90 : 1,386.06 = 307.56 : x
  2. Step 2: Convert to fraction form
    923.90/1,386.06 = 307.56/x
  3. Step 3: Cross multiply
    923.90x = 1,386.06 × 307.56
  4. Step 4: Simplify right side
    923.90x = 426,296.61
  5. Step 5: Solve for x
    x = 426,296.61/923.90
  6. Step 6: Final answer
    x = 461.41

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1.5x scale

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.