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Finding the Fourth Proportional to 714.08, 1,070.70 and 348.50

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Solution

The fourth proportional to 714.08, 1,070.70 and 348.50 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.08 : 1,070.70 = 348.50 : x
  2. Step 2: Convert to fraction form
    714.08/1,070.70 = 348.50/x
  3. Step 3: Cross multiply
    714.08x = 1,070.70 × 348.50
  4. Step 4: Simplify right side
    714.08x = 373,133.60
  5. Step 5: Solve for x
    x = 373,133.60/714.08
  6. Step 6: Final answer
    x = 522.54

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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.