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Finding the Fourth Proportional to 832.13, 1,248.49 and 357.01

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Solution

The fourth proportional to 832.13, 1,248.49 and 357.01 is: 535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.13 : 1,248.49 = 357.01 : x
  2. Step 2: Convert to fraction form
    832.13/1,248.49 = 357.01/x
  3. Step 3: Cross multiply
    832.13x = 1,248.49 × 357.01
  4. Step 4: Simplify right side
    832.13x = 445,719.74
  5. Step 5: Solve for x
    x = 445,719.74/832.13
  6. Step 6: Final answer
    x = 535.64

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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.