Home / 1,655.47-2,283.69-1,157.02

Finding the Fourth Proportional to 1,655.47, 2,283.69 and 1,157.02

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Solution

The fourth proportional to 1,655.47, 2,283.69 and 1,157.02 is: 1,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.47 : 2,283.69 = 1,157.02 : x
  2. Step 2: Convert to fraction form
    1,655.47/2,283.69 = 1,157.02/x
  3. Step 3: Cross multiply
    1,655.47x = 2,283.69 × 1,157.02
  4. Step 4: Simplify right side
    1,655.47x = 2,642,273.63
  5. Step 5: Solve for x
    x = 2,642,273.63/1,655.47
  6. Step 6: Final answer
    x = 1,596.09

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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.