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Finding the Fourth Proportional to 491.40, 740.66 and 469.44

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Solution

The fourth proportional to 491.40, 740.66 and 469.44 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 740.66 = 469.44 : x
  2. Step 2: Convert to fraction form
    491.40/740.66 = 469.44/x
  3. Step 3: Cross multiply
    491.40x = 740.66 × 469.44
  4. Step 4: Simplify right side
    491.40x = 347,693.08
  5. Step 5: Solve for x
    x = 347,693.08/491.40
  6. Step 6: Final answer
    x = 707.56

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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.