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Finding the Fourth Proportional to 1,003.84, 1,385.29 and 561.79

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Solution

The fourth proportional to 1,003.84, 1,385.29 and 561.79 is: 775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.84 : 1,385.29 = 561.79 : x
  2. Step 2: Convert to fraction form
    1,003.84/1,385.29 = 561.79/x
  3. Step 3: Cross multiply
    1,003.84x = 1,385.29 × 561.79
  4. Step 4: Simplify right side
    1,003.84x = 778,242.07
  5. Step 5: Solve for x
    x = 778,242.07/1,003.84
  6. Step 6: Final answer
    x = 775.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.