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Finding the Fourth Proportional to 734.50, 1,014.44 and 501.22

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Solution

The fourth proportional to 734.50, 1,014.44 and 501.22 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.50 : 1,014.44 = 501.22 : x
  2. Step 2: Convert to fraction form
    734.50/1,014.44 = 501.22/x
  3. Step 3: Cross multiply
    734.50x = 1,014.44 × 501.22
  4. Step 4: Simplify right side
    734.50x = 508,457.62
  5. Step 5: Solve for x
    x = 508,457.62/734.50
  6. Step 6: Final answer
    x = 692.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.