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Finding the Fourth Proportional to 1,003.40, 1,384.77 and 561.45

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Solution

The fourth proportional to 1,003.40, 1,384.77 and 561.45 is: 774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.40 : 1,384.77 = 561.45 : x
  2. Step 2: Convert to fraction form
    1,003.40/1,384.77 = 561.45/x
  3. Step 3: Cross multiply
    1,003.40x = 1,384.77 × 561.45
  4. Step 4: Simplify right side
    1,003.40x = 777,477.05
  5. Step 5: Solve for x
    x = 777,477.05/1,003.40
  6. Step 6: Final answer
    x = 774.84

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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.