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Finding the Fourth Proportional to 501.83, 692.96 and 315.64

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Solution

The fourth proportional to 501.83, 692.96 and 315.64 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.83 : 692.96 = 315.64 : x
  2. Step 2: Convert to fraction form
    501.83/692.96 = 315.64/x
  3. Step 3: Cross multiply
    501.83x = 692.96 × 315.64
  4. Step 4: Simplify right side
    501.83x = 218,725.89
  5. Step 5: Solve for x
    x = 218,725.89/501.83
  6. Step 6: Final answer
    x = 435.86

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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.