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Finding the Fourth Proportional to 501.80, 692.55 and 432.54

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Solution

The fourth proportional to 501.80, 692.55 and 432.54 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 692.55 = 432.54 : x
  2. Step 2: Convert to fraction form
    501.80/692.55 = 432.54/x
  3. Step 3: Cross multiply
    501.80x = 692.55 × 432.54
  4. Step 4: Simplify right side
    501.80x = 299,555.58
  5. Step 5: Solve for x
    x = 299,555.58/501.80
  6. Step 6: Final answer
    x = 596.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.