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Finding the Fourth Proportional to 1,430.48, 1,974.02 and 841.02

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Solution

The fourth proportional to 1,430.48, 1,974.02 and 841.02 is: 1,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.48 : 1,974.02 = 841.02 : x
  2. Step 2: Convert to fraction form
    1,430.48/1,974.02 = 841.02/x
  3. Step 3: Cross multiply
    1,430.48x = 1,974.02 × 841.02
  4. Step 4: Simplify right side
    1,430.48x = 1,660,190.30
  5. Step 5: Solve for x
    x = 1,660,190.30/1,430.48
  6. Step 6: Final answer
    x = 1,160.58

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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.