Home / 1,654.65-2,283.89-1,157.42

Finding the Fourth Proportional to 1,654.65, 2,283.89 and 1,157.42

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Solution

The fourth proportional to 1,654.65, 2,283.89 and 1,157.42 is: 1,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.65 : 2,283.89 = 1,157.42 : x
  2. Step 2: Convert to fraction form
    1,654.65/2,283.89 = 1,157.42/x
  3. Step 3: Cross multiply
    1,654.65x = 2,283.89 × 1,157.42
  4. Step 4: Simplify right side
    1,654.65x = 2,643,419.89
  5. Step 5: Solve for x
    x = 2,643,419.89/1,654.65
  6. Step 6: Final answer
    x = 1,597.57

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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.