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Finding the Fourth Proportional to 1,047.30, 1,445.13 and 605.13

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Solution

The fourth proportional to 1,047.30, 1,445.13 and 605.13 is: 835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.30 : 1,445.13 = 605.13 : x
  2. Step 2: Convert to fraction form
    1,047.30/1,445.13 = 605.13/x
  3. Step 3: Cross multiply
    1,047.30x = 1,445.13 × 605.13
  4. Step 4: Simplify right side
    1,047.30x = 874,491.52
  5. Step 5: Solve for x
    x = 874,491.52/1,047.30
  6. Step 6: Final answer
    x = 835.00

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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.