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Finding the Fourth Proportional to 501, 692.82 and 478.08

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Solution

The fourth proportional to 501, 692.82 and 478.08 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 692.82 = 478.08 : x
  2. Step 2: Convert to fraction form
    501/692.82 = 478.08/x
  3. Step 3: Cross multiply
    501x = 692.82 × 478.08
  4. Step 4: Simplify right side
    501x = 331,223.39
  5. Step 5: Solve for x
    x = 331,223.39/501
  6. Step 6: Final answer
    x = 661.12

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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.