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Finding the Fourth Proportional to 501.79, 692.70 and 421.99

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Solution

The fourth proportional to 501.79, 692.70 and 421.99 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.79 : 692.70 = 421.99 : x
  2. Step 2: Convert to fraction form
    501.79/692.70 = 421.99/x
  3. Step 3: Cross multiply
    501.79x = 692.70 × 421.99
  4. Step 4: Simplify right side
    501.79x = 292,312.47
  5. Step 5: Solve for x
    x = 292,312.47/501.79
  6. Step 6: Final answer
    x = 582.54

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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.