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Finding the Fourth Proportional to 1,088.37, 1,633.55 and 917.01

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Solution

The fourth proportional to 1,088.37, 1,633.55 and 917.01 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.37 : 1,633.55 = 917.01 : x
  2. Step 2: Convert to fraction form
    1,088.37/1,633.55 = 917.01/x
  3. Step 3: Cross multiply
    1,088.37x = 1,633.55 × 917.01
  4. Step 4: Simplify right side
    1,088.37x = 1,497,977.10
  5. Step 5: Solve for x
    x = 1,497,977.10/1,088.37
  6. Step 6: Final answer
    x = 1,376.35

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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.