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Finding the Fourth Proportional to 832.58, 1,148.63 and 537.74

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Solution

The fourth proportional to 832.58, 1,148.63 and 537.74 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.58 : 1,148.63 = 537.74 : x
  2. Step 2: Convert to fraction form
    832.58/1,148.63 = 537.74/x
  3. Step 3: Cross multiply
    832.58x = 1,148.63 × 537.74
  4. Step 4: Simplify right side
    832.58x = 617,661.61
  5. Step 5: Solve for x
    x = 617,661.61/832.58
  6. Step 6: Final answer
    x = 741.86

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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.