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Finding the Fourth Proportional to 501.87, 692.63 and 315.50

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Solution

The fourth proportional to 501.87, 692.63 and 315.50 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.87 : 692.63 = 315.50 : x
  2. Step 2: Convert to fraction form
    501.87/692.63 = 315.50/x
  3. Step 3: Cross multiply
    501.87x = 692.63 × 315.50
  4. Step 4: Simplify right side
    501.87x = 218,524.77
  5. Step 5: Solve for x
    x = 218,524.77/501.87
  6. Step 6: Final answer
    x = 435.42

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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.