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Finding the Fourth Proportional to 502.09, 692.50 and 383.77

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Solution

The fourth proportional to 502.09, 692.50 and 383.77 is: 529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.09 : 692.50 = 383.77 : x
  2. Step 2: Convert to fraction form
    502.09/692.50 = 383.77/x
  3. Step 3: Cross multiply
    502.09x = 692.50 × 383.77
  4. Step 4: Simplify right side
    502.09x = 265,756.81
  5. Step 5: Solve for x
    x = 265,756.81/502.09
  6. Step 6: Final answer
    x = 529.30

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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.