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Finding the Fourth Proportional to 1,095.48, 1,643.22 and 1,017.72

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Solution

The fourth proportional to 1,095.48, 1,643.22 and 1,017.72 is: 1,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.48 : 1,643.22 = 1,017.72 : x
  2. Step 2: Convert to fraction form
    1,095.48/1,643.22 = 1,017.72/x
  3. Step 3: Cross multiply
    1,095.48x = 1,643.22 × 1,017.72
  4. Step 4: Simplify right side
    1,095.48x = 1,672,337.86
  5. Step 5: Solve for x
    x = 1,672,337.86/1,095.48
  6. Step 6: Final answer
    x = 1,526.58

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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.