Home / 1,531.52-2,297.28-491.63

Finding the Fourth Proportional to 1,531.52, 2,297.28 and 491.63

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Solution

The fourth proportional to 1,531.52, 2,297.28 and 491.63 is: 737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.52 : 2,297.28 = 491.63 : x
  2. Step 2: Convert to fraction form
    1,531.52/2,297.28 = 491.63/x
  3. Step 3: Cross multiply
    1,531.52x = 2,297.28 × 491.63
  4. Step 4: Simplify right side
    1,531.52x = 1,129,411.77
  5. Step 5: Solve for x
    x = 1,129,411.77/1,531.52
  6. Step 6: Final answer
    x = 737.45

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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.