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Finding the Fourth Proportional to 899.56, 1,347.18 and 514

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Solution

The fourth proportional to 899.56, 1,347.18 and 514 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.56 : 1,347.18 = 514 : x
  2. Step 2: Convert to fraction form
    899.56/1,347.18 = 514/x
  3. Step 3: Cross multiply
    899.56x = 1,347.18 × 514
  4. Step 4: Simplify right side
    899.56x = 692,450.52
  5. Step 5: Solve for x
    x = 692,450.52/899.56
  6. Step 6: Final answer
    x = 769.77

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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.