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Finding the Fourth Proportional to 491.08, 740.28 and 450.08

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Solution

The fourth proportional to 491.08, 740.28 and 450.08 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 740.28 = 450.08 : x
  2. Step 2: Convert to fraction form
    491.08/740.28 = 450.08/x
  3. Step 3: Cross multiply
    491.08x = 740.28 × 450.08
  4. Step 4: Simplify right side
    491.08x = 333,185.22
  5. Step 5: Solve for x
    x = 333,185.22/491.08
  6. Step 6: Final answer
    x = 678.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.