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Finding the Fourth Proportional to 1,142.33, 1,572.81 and 973.99

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Solution

The fourth proportional to 1,142.33, 1,572.81 and 973.99 is: 1,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.33 : 1,572.81 = 973.99 : x
  2. Step 2: Convert to fraction form
    1,142.33/1,572.81 = 973.99/x
  3. Step 3: Cross multiply
    1,142.33x = 1,572.81 × 973.99
  4. Step 4: Simplify right side
    1,142.33x = 1,531,893.35
  5. Step 5: Solve for x
    x = 1,531,893.35/1,142.33
  6. Step 6: Final answer
    x = 1,341.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.