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Finding the Fourth Proportional to 491.76, 740.56 and 443.56

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Solution

The fourth proportional to 491.76, 740.56 and 443.56 is: 667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 740.56 = 443.56 : x
  2. Step 2: Convert to fraction form
    491.76/740.56 = 443.56/x
  3. Step 3: Cross multiply
    491.76x = 740.56 × 443.56
  4. Step 4: Simplify right side
    491.76x = 328,482.79
  5. Step 5: Solve for x
    x = 328,482.79/491.76
  6. Step 6: Final answer
    x = 667.98

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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.