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Finding the Fourth Proportional to 899.50, 1,347.49 and 508.31

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Solution

The fourth proportional to 899.50, 1,347.49 and 508.31 is: 761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.50 : 1,347.49 = 508.31 : x
  2. Step 2: Convert to fraction form
    899.50/1,347.49 = 508.31/x
  3. Step 3: Cross multiply
    899.50x = 1,347.49 × 508.31
  4. Step 4: Simplify right side
    899.50x = 684,942.64
  5. Step 5: Solve for x
    x = 684,942.64/899.50
  6. Step 6: Final answer
    x = 761.47

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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.