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Finding the Fourth Proportional to 832.59, 1,248.53 and 284.81

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Solution

The fourth proportional to 832.59, 1,248.53 and 284.81 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.59 : 1,248.53 = 284.81 : x
  2. Step 2: Convert to fraction form
    832.59/1,248.53 = 284.81/x
  3. Step 3: Cross multiply
    832.59x = 1,248.53 × 284.81
  4. Step 4: Simplify right side
    832.59x = 355,586.16
  5. Step 5: Solve for x
    x = 355,586.16/832.59
  6. Step 6: Final answer
    x = 427.08

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