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Finding the Fourth Proportional to 1,663.59, 2,295.62 and 917.50

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Solution

The fourth proportional to 1,663.59, 2,295.62 and 917.50 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.59 : 2,295.62 = 917.50 : x
  2. Step 2: Convert to fraction form
    1,663.59/2,295.62 = 917.50/x
  3. Step 3: Cross multiply
    1,663.59x = 2,295.62 × 917.50
  4. Step 4: Simplify right side
    1,663.59x = 2,106,231.35
  5. Step 5: Solve for x
    x = 2,106,231.35/1,663.59
  6. Step 6: Final answer
    x = 1,266.08

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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.