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Finding the Fourth Proportional to 1,004.00, 1,385.50 and 561.90

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Solution

The fourth proportional to 1,004.00, 1,385.50 and 561.90 is: 775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.00 : 1,385.50 = 561.90 : x
  2. Step 2: Convert to fraction form
    1,004.00/1,385.50 = 561.90/x
  3. Step 3: Cross multiply
    1,004.00x = 1,385.50 × 561.90
  4. Step 4: Simplify right side
    1,004.00x = 778,509.69
  5. Step 5: Solve for x
    x = 778,509.69/1,004.00
  6. Step 6: Final answer
    x = 775.41

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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.