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Finding the Fourth Proportional to 1,752.40, 2,627.83 and 656.00

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Solution

The fourth proportional to 1,752.40, 2,627.83 and 656.00 is: 983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.40 : 2,627.83 = 656.00 : x
  2. Step 2: Convert to fraction form
    1,752.40/2,627.83 = 656.00/x
  3. Step 3: Cross multiply
    1,752.40x = 2,627.83 × 656.00
  4. Step 4: Simplify right side
    1,752.40x = 1,723,852.58
  5. Step 5: Solve for x
    x = 1,723,852.58/1,752.40
  6. Step 6: Final answer
    x = 983.71

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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.