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Finding the Fourth Proportional to 923.85, 1,386.80 and 513.39

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Solution

The fourth proportional to 923.85, 1,386.80 and 513.39 is: 770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,386.80 = 513.39 : x
  2. Step 2: Convert to fraction form
    923.85/1,386.80 = 513.39/x
  3. Step 3: Cross multiply
    923.85x = 1,386.80 × 513.39
  4. Step 4: Simplify right side
    923.85x = 711,966.69
  5. Step 5: Solve for x
    x = 711,966.69/923.85
  6. Step 6: Final answer
    x = 770.65

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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.