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Finding the Fourth Proportional to 918.56, 1,378.56 and 507.98

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Solution

The fourth proportional to 918.56, 1,378.56 and 507.98 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.56 : 1,378.56 = 507.98 : x
  2. Step 2: Convert to fraction form
    918.56/1,378.56 = 507.98/x
  3. Step 3: Cross multiply
    918.56x = 1,378.56 × 507.98
  4. Step 4: Simplify right side
    918.56x = 700,280.91
  5. Step 5: Solve for x
    x = 700,280.91/918.56
  6. Step 6: Final answer
    x = 762.37

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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.