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Finding the Fourth Proportional to 973.16, 1,460.46 and 665.66

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Solution

The fourth proportional to 973.16, 1,460.46 and 665.66 is: 998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.16 : 1,460.46 = 665.66 : x
  2. Step 2: Convert to fraction form
    973.16/1,460.46 = 665.66/x
  3. Step 3: Cross multiply
    973.16x = 1,460.46 × 665.66
  4. Step 4: Simplify right side
    973.16x = 972,169.80
  5. Step 5: Solve for x
    x = 972,169.80/973.16
  6. Step 6: Final answer
    x = 998.98

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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.