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Finding the Fourth Proportional to 1,047.86, 1,446.77 and 655.06

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Solution

The fourth proportional to 1,047.86, 1,446.77 and 655.06 is: 904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.86 : 1,446.77 = 655.06 : x
  2. Step 2: Convert to fraction form
    1,047.86/1,446.77 = 655.06/x
  3. Step 3: Cross multiply
    1,047.86x = 1,446.77 × 655.06
  4. Step 4: Simplify right side
    1,047.86x = 947,721.16
  5. Step 5: Solve for x
    x = 947,721.16/1,047.86
  6. Step 6: Final answer
    x = 904.43

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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.