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Finding the Fourth Proportional to 491.61, 678.06 and 429.31

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Solution

The fourth proportional to 491.61, 678.06 and 429.31 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.61 : 678.06 = 429.31 : x
  2. Step 2: Convert to fraction form
    491.61/678.06 = 429.31/x
  3. Step 3: Cross multiply
    491.61x = 678.06 × 429.31
  4. Step 4: Simplify right side
    491.61x = 291,096.24
  5. Step 5: Solve for x
    x = 291,096.24/491.61
  6. Step 6: Final answer
    x = 592.13

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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.