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Finding the Fourth Proportional to 1,130.64, 1,561.20 and 992.31

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Solution

The fourth proportional to 1,130.64, 1,561.20 and 992.31 is: 1,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.64 : 1,561.20 = 992.31 : x
  2. Step 2: Convert to fraction form
    1,130.64/1,561.20 = 992.31/x
  3. Step 3: Cross multiply
    1,130.64x = 1,561.20 × 992.31
  4. Step 4: Simplify right side
    1,130.64x = 1,549,194.37
  5. Step 5: Solve for x
    x = 1,549,194.37/1,130.64
  6. Step 6: Final answer
    x = 1,370.19

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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.