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Finding the Fourth Proportional to 1,130.42, 1,555.26 and 1,099.82

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Solution

The fourth proportional to 1,130.42, 1,555.26 and 1,099.82 is: 1,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.42 : 1,555.26 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    1,130.42/1,555.26 = 1,099.82/x
  3. Step 3: Cross multiply
    1,130.42x = 1,555.26 × 1,099.82
  4. Step 4: Simplify right side
    1,130.42x = 1,710,506.05
  5. Step 5: Solve for x
    x = 1,710,506.05/1,130.42
  6. Step 6: Final answer
    x = 1,513.16

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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.