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Finding the Fourth Proportional to 502.58, 692.88 and 429.68

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Solution

The fourth proportional to 502.58, 692.88 and 429.68 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.58 : 692.88 = 429.68 : x
  2. Step 2: Convert to fraction form
    502.58/692.88 = 429.68/x
  3. Step 3: Cross multiply
    502.58x = 692.88 × 429.68
  4. Step 4: Simplify right side
    502.58x = 297,716.68
  5. Step 5: Solve for x
    x = 297,716.68/502.58
  6. Step 6: Final answer
    x = 592.38

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1.5x scale

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.