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Finding the Fourth Proportional to 501.15, 692.06 and 473.88

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Solution

The fourth proportional to 501.15, 692.06 and 473.88 is: 654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 692.06 = 473.88 : x
  2. Step 2: Convert to fraction form
    501.15/692.06 = 473.88/x
  3. Step 3: Cross multiply
    501.15x = 692.06 × 473.88
  4. Step 4: Simplify right side
    501.15x = 327,953.39
  5. Step 5: Solve for x
    x = 327,953.39/501.15
  6. Step 6: Final answer
    x = 654.40

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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.