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Finding the Fourth Proportional to 498.74, 749.25 and 471.06

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Solution

The fourth proportional to 498.74, 749.25 and 471.06 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 749.25 = 471.06 : x
  2. Step 2: Convert to fraction form
    498.74/749.25 = 471.06/x
  3. Step 3: Cross multiply
    498.74x = 749.25 × 471.06
  4. Step 4: Simplify right side
    498.74x = 352,941.71
  5. Step 5: Solve for x
    x = 352,941.71/498.74
  6. Step 6: Final answer
    x = 707.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.