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Finding the Fourth Proportional to 713.37, 1,068.95 and 469.37

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Solution

The fourth proportional to 713.37, 1,068.95 and 469.37 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.37 : 1,068.95 = 469.37 : x
  2. Step 2: Convert to fraction form
    713.37/1,068.95 = 469.37/x
  3. Step 3: Cross multiply
    713.37x = 1,068.95 × 469.37
  4. Step 4: Simplify right side
    713.37x = 501,725.37
  5. Step 5: Solve for x
    x = 501,725.37/713.37
  6. Step 6: Final answer
    x = 703.32

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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.