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Finding the Fourth Proportional to 899.61, 1,349.64 and 715.21

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Solution

The fourth proportional to 899.61, 1,349.64 and 715.21 is: 1,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.61 : 1,349.64 = 715.21 : x
  2. Step 2: Convert to fraction form
    899.61/1,349.64 = 715.21/x
  3. Step 3: Cross multiply
    899.61x = 1,349.64 × 715.21
  4. Step 4: Simplify right side
    899.61x = 965,276.02
  5. Step 5: Solve for x
    x = 965,276.02/899.61
  6. Step 6: Final answer
    x = 1,072.99

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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.