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Finding the Fourth Proportional to 656.51, 899.42 and 631.89

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Solution

The fourth proportional to 656.51, 899.42 and 631.89 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.51 : 899.42 = 631.89 : x
  2. Step 2: Convert to fraction form
    656.51/899.42 = 631.89/x
  3. Step 3: Cross multiply
    656.51x = 899.42 × 631.89
  4. Step 4: Simplify right side
    656.51x = 568,331.34
  5. Step 5: Solve for x
    x = 568,331.34/656.51
  6. Step 6: Final answer
    x = 865.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.