Home / 1,157.90-1,596.21-921.93

Finding the Fourth Proportional to 1,157.90, 1,596.21 and 921.93

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Solution

The fourth proportional to 1,157.90, 1,596.21 and 921.93 is: 1,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.90 : 1,596.21 = 921.93 : x
  2. Step 2: Convert to fraction form
    1,157.90/1,596.21 = 921.93/x
  3. Step 3: Cross multiply
    1,157.90x = 1,596.21 × 921.93
  4. Step 4: Simplify right side
    1,157.90x = 1,471,593.89
  5. Step 5: Solve for x
    x = 1,471,593.89/1,157.90
  6. Step 6: Final answer
    x = 1,270.92

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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.