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Finding the Fourth Proportional to 501.02, 691.45 and 345.50

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Solution

The fourth proportional to 501.02, 691.45 and 345.50 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 691.45 = 345.50 : x
  2. Step 2: Convert to fraction form
    501.02/691.45 = 345.50/x
  3. Step 3: Cross multiply
    501.02x = 691.45 × 345.50
  4. Step 4: Simplify right side
    501.02x = 238,895.98
  5. Step 5: Solve for x
    x = 238,895.98/501.02
  6. Step 6: Final answer
    x = 476.82

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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.