Home / 1,151.15-1,588.47-646.89

Finding the Fourth Proportional to 1,151.15, 1,588.47 and 646.89

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Solution

The fourth proportional to 1,151.15, 1,588.47 and 646.89 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.15 : 1,588.47 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,151.15/1,588.47 = 646.89/x
  3. Step 3: Cross multiply
    1,151.15x = 1,588.47 × 646.89
  4. Step 4: Simplify right side
    1,151.15x = 1,027,565.36
  5. Step 5: Solve for x
    x = 1,027,565.36/1,151.15
  6. Step 6: Final answer
    x = 892.64

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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.