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Finding the Fourth Proportional to 1,095.21, 1,511.65 and 653.39

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Solution

The fourth proportional to 1,095.21, 1,511.65 and 653.39 is: 901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.21 : 1,511.65 = 653.39 : x
  2. Step 2: Convert to fraction form
    1,095.21/1,511.65 = 653.39/x
  3. Step 3: Cross multiply
    1,095.21x = 1,511.65 × 653.39
  4. Step 4: Simplify right side
    1,095.21x = 987,690.25
  5. Step 5: Solve for x
    x = 987,690.25/1,095.21
  6. Step 6: Final answer
    x = 901.83

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1.5x scale

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.