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Finding the Fourth Proportional to 975.03, 1,461.74 and 398.31

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Solution

The fourth proportional to 975.03, 1,461.74 and 398.31 is: 597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,461.74 = 398.31 : x
  2. Step 2: Convert to fraction form
    975.03/1,461.74 = 398.31/x
  3. Step 3: Cross multiply
    975.03x = 1,461.74 × 398.31
  4. Step 4: Simplify right side
    975.03x = 582,223.67
  5. Step 5: Solve for x
    x = 582,223.67/975.03
  6. Step 6: Final answer
    x = 597.13

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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.