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Finding the Fourth Proportional to 631.58, 947.37 and 590.59

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Solution

The fourth proportional to 631.58, 947.37 and 590.59 is: 885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.58 : 947.37 = 590.59 : x
  2. Step 2: Convert to fraction form
    631.58/947.37 = 590.59/x
  3. Step 3: Cross multiply
    631.58x = 947.37 × 590.59
  4. Step 4: Simplify right side
    631.58x = 559,502.51
  5. Step 5: Solve for x
    x = 559,502.51/631.58
  6. Step 6: Final answer
    x = 885.88

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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.