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Finding the Fourth Proportional to 899.66, 1,347.98 and 656.26

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Solution

The fourth proportional to 899.66, 1,347.98 and 656.26 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.66 : 1,347.98 = 656.26 : x
  2. Step 2: Convert to fraction form
    899.66/1,347.98 = 656.26/x
  3. Step 3: Cross multiply
    899.66x = 1,347.98 × 656.26
  4. Step 4: Simplify right side
    899.66x = 884,618.70
  5. Step 5: Solve for x
    x = 884,618.70/899.66
  6. Step 6: Final answer
    x = 983.28

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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.