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Finding the Fourth Proportional to 699.58, 1,047.70 and 406.46

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Solution

The fourth proportional to 699.58, 1,047.70 and 406.46 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.58 : 1,047.70 = 406.46 : x
  2. Step 2: Convert to fraction form
    699.58/1,047.70 = 406.46/x
  3. Step 3: Cross multiply
    699.58x = 1,047.70 × 406.46
  4. Step 4: Simplify right side
    699.58x = 425,848.14
  5. Step 5: Solve for x
    x = 425,848.14/699.58
  6. Step 6: Final answer
    x = 608.72

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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.