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Finding the Fourth Proportional to 501.74, 692.19 and 354.47

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Solution

The fourth proportional to 501.74, 692.19 and 354.47 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 692.19 = 354.47 : x
  2. Step 2: Convert to fraction form
    501.74/692.19 = 354.47/x
  3. Step 3: Cross multiply
    501.74x = 692.19 × 354.47
  4. Step 4: Simplify right side
    501.74x = 245,357.13
  5. Step 5: Solve for x
    x = 245,357.13/501.74
  6. Step 6: Final answer
    x = 489.02

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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.