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Finding the Fourth Proportional to 713.21, 1,070.69 and 469.94

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Solution

The fourth proportional to 713.21, 1,070.69 and 469.94 is: 705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.21 : 1,070.69 = 469.94 : x
  2. Step 2: Convert to fraction form
    713.21/1,070.69 = 469.94/x
  3. Step 3: Cross multiply
    713.21x = 1,070.69 × 469.94
  4. Step 4: Simplify right side
    713.21x = 503,152.36
  5. Step 5: Solve for x
    x = 503,152.36/713.21
  6. Step 6: Final answer
    x = 705.48

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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.