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Finding the Fourth Proportional to 973.05, 1,459.58 and 681.45

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Solution

The fourth proportional to 973.05, 1,459.58 and 681.45 is: 1,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.05 : 1,459.58 = 681.45 : x
  2. Step 2: Convert to fraction form
    973.05/1,459.58 = 681.45/x
  3. Step 3: Cross multiply
    973.05x = 1,459.58 × 681.45
  4. Step 4: Simplify right side
    973.05x = 994,627.38
  5. Step 5: Solve for x
    x = 994,627.38/973.05
  6. Step 6: Final answer
    x = 1,022.18

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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.