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Finding the Fourth Proportional to 714.29, 1,070.40 and 348.67

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Solution

The fourth proportional to 714.29, 1,070.40 and 348.67 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 1,070.40 = 348.67 : x
  2. Step 2: Convert to fraction form
    714.29/1,070.40 = 348.67/x
  3. Step 3: Cross multiply
    714.29x = 1,070.40 × 348.67
  4. Step 4: Simplify right side
    714.29x = 373,213.69
  5. Step 5: Solve for x
    x = 373,213.69/714.29
  6. Step 6: Final answer
    x = 522.49

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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.