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Finding the Fourth Proportional to 923.85, 1,383.15 and 706.77

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Solution

The fourth proportional to 923.85, 1,383.15 and 706.77 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,383.15 = 706.77 : x
  2. Step 2: Convert to fraction form
    923.85/1,383.15 = 706.77/x
  3. Step 3: Cross multiply
    923.85x = 1,383.15 × 706.77
  4. Step 4: Simplify right side
    923.85x = 977,568.93
  5. Step 5: Solve for x
    x = 977,568.93/923.85
  6. Step 6: Final answer
    x = 1,058.15

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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.