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Finding the Fourth Proportional to 502.93, 692.58 and 429.22

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Solution

The fourth proportional to 502.93, 692.58 and 429.22 is: 591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.93 : 692.58 = 429.22 : x
  2. Step 2: Convert to fraction form
    502.93/692.58 = 429.22/x
  3. Step 3: Cross multiply
    502.93x = 692.58 × 429.22
  4. Step 4: Simplify right side
    502.93x = 297,269.19
  5. Step 5: Solve for x
    x = 297,269.19/502.93
  6. Step 6: Final answer
    x = 591.07

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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.