Home / 1,531.94-2,296.51-557.35

Finding the Fourth Proportional to 1,531.94, 2,296.51 and 557.35

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Solution

The fourth proportional to 1,531.94, 2,296.51 and 557.35 is: 835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.94 : 2,296.51 = 557.35 : x
  2. Step 2: Convert to fraction form
    1,531.94/2,296.51 = 557.35/x
  3. Step 3: Cross multiply
    1,531.94x = 2,296.51 × 557.35
  4. Step 4: Simplify right side
    1,531.94x = 1,279,952.71
  5. Step 5: Solve for x
    x = 1,279,952.71/1,531.94
  6. Step 6: Final answer
    x = 835.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.