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Finding the Fourth Proportional to 668.55, 1,004.67 and 583.91

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Solution

The fourth proportional to 668.55, 1,004.67 and 583.91 is: 877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.55 : 1,004.67 = 583.91 : x
  2. Step 2: Convert to fraction form
    668.55/1,004.67 = 583.91/x
  3. Step 3: Cross multiply
    668.55x = 1,004.67 × 583.91
  4. Step 4: Simplify right side
    668.55x = 586,636.86
  5. Step 5: Solve for x
    x = 586,636.86/668.55
  6. Step 6: Final answer
    x = 877.48

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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.