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Finding the Fourth Proportional to 692.15, 1,038.89 and 509.02

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Solution

The fourth proportional to 692.15, 1,038.89 and 509.02 is: 764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.15 : 1,038.89 = 509.02 : x
  2. Step 2: Convert to fraction form
    692.15/1,038.89 = 509.02/x
  3. Step 3: Cross multiply
    692.15x = 1,038.89 × 509.02
  4. Step 4: Simplify right side
    692.15x = 528,814.46
  5. Step 5: Solve for x
    x = 528,814.46/692.15
  6. Step 6: Final answer
    x = 764.02

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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.