Home / 1,531.82-2,297.74-557.93

Finding the Fourth Proportional to 1,531.82, 2,297.74 and 557.93

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Solution

The fourth proportional to 1,531.82, 2,297.74 and 557.93 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.82 : 2,297.74 = 557.93 : x
  2. Step 2: Convert to fraction form
    1,531.82/2,297.74 = 557.93/x
  3. Step 3: Cross multiply
    1,531.82x = 2,297.74 × 557.93
  4. Step 4: Simplify right side
    1,531.82x = 1,281,968.89
  5. Step 5: Solve for x
    x = 1,281,968.89/1,531.82
  6. Step 6: Final answer
    x = 836.89

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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.