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Finding the Fourth Proportional to 1,465.72, 2,199.08 and 917.25

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Solution

The fourth proportional to 1,465.72, 2,199.08 and 917.25 is: 1,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.72 : 2,199.08 = 917.25 : x
  2. Step 2: Convert to fraction form
    1,465.72/2,199.08 = 917.25/x
  3. Step 3: Cross multiply
    1,465.72x = 2,199.08 × 917.25
  4. Step 4: Simplify right side
    1,465.72x = 2,017,106.13
  5. Step 5: Solve for x
    x = 2,017,106.13/1,465.72
  6. Step 6: Final answer
    x = 1,376.19

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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.