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Finding the Fourth Proportional to 1,130.74, 1,694.94 and 473.00

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Solution

The fourth proportional to 1,130.74, 1,694.94 and 473.00 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.74 : 1,694.94 = 473.00 : x
  2. Step 2: Convert to fraction form
    1,130.74/1,694.94 = 473.00/x
  3. Step 3: Cross multiply
    1,130.74x = 1,694.94 × 473.00
  4. Step 4: Simplify right side
    1,130.74x = 801,698.15
  5. Step 5: Solve for x
    x = 801,698.15/1,130.74
  6. Step 6: Final answer
    x = 709.00

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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.