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Finding the Fourth Proportional to 692.77, 1,039.45 and 508.62

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Solution

The fourth proportional to 692.77, 1,039.45 and 508.62 is: 763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.77 : 1,039.45 = 508.62 : x
  2. Step 2: Convert to fraction form
    692.77/1,039.45 = 508.62/x
  3. Step 3: Cross multiply
    692.77x = 1,039.45 × 508.62
  4. Step 4: Simplify right side
    692.77x = 528,679.59
  5. Step 5: Solve for x
    x = 528,679.59/692.77
  6. Step 6: Final answer
    x = 763.13

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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.