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Finding the Fourth Proportional to 478.71, 714.57 and 410.67

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Solution

The fourth proportional to 478.71, 714.57 and 410.67 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 714.57 = 410.67 : x
  2. Step 2: Convert to fraction form
    478.71/714.57 = 410.67/x
  3. Step 3: Cross multiply
    478.71x = 714.57 × 410.67
  4. Step 4: Simplify right side
    478.71x = 293,453.23
  5. Step 5: Solve for x
    x = 293,453.23/478.71
  6. Step 6: Final answer
    x = 613.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.