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Finding the Fourth Proportional to 1,153.98, 1,720.98 and 1,098.90

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Solution

The fourth proportional to 1,153.98, 1,720.98 and 1,098.90 is: 1,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.98 : 1,720.98 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    1,153.98/1,720.98 = 1,098.90/x
  3. Step 3: Cross multiply
    1,153.98x = 1,720.98 × 1,098.90
  4. Step 4: Simplify right side
    1,153.98x = 1,891,184.92
  5. Step 5: Solve for x
    x = 1,891,184.92/1,153.98
  6. Step 6: Final answer
    x = 1,638.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.