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Finding the Fourth Proportional to 740.68, 1,021.82 and 491.91

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Solution

The fourth proportional to 740.68, 1,021.82 and 491.91 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.68 : 1,021.82 = 491.91 : x
  2. Step 2: Convert to fraction form
    740.68/1,021.82 = 491.91/x
  3. Step 3: Cross multiply
    740.68x = 1,021.82 × 491.91
  4. Step 4: Simplify right side
    740.68x = 502,637.18
  5. Step 5: Solve for x
    x = 502,637.18/740.68
  6. Step 6: Final answer
    x = 678.62

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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.