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Finding the Fourth Proportional to 632.58, 947.48 and 617.08

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Solution

The fourth proportional to 632.58, 947.48 and 617.08 is: 924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 947.48 = 617.08 : x
  2. Step 2: Convert to fraction form
    632.58/947.48 = 617.08/x
  3. Step 3: Cross multiply
    632.58x = 947.48 × 617.08
  4. Step 4: Simplify right side
    632.58x = 584,670.96
  5. Step 5: Solve for x
    x = 584,670.96/632.58
  6. Step 6: Final answer
    x = 924.26

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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.