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Finding the Fourth Proportional to 491.89, 678.76 and 345.01

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Solution

The fourth proportional to 491.89, 678.76 and 345.01 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 678.76 = 345.01 : x
  2. Step 2: Convert to fraction form
    491.89/678.76 = 345.01/x
  3. Step 3: Cross multiply
    491.89x = 678.76 × 345.01
  4. Step 4: Simplify right side
    491.89x = 234,178.99
  5. Step 5: Solve for x
    x = 234,178.99/491.89
  6. Step 6: Final answer
    x = 476.08

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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.