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Finding the Fourth Proportional to 646.04, 890.87 and 574.92

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Solution

The fourth proportional to 646.04, 890.87 and 574.92 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 890.87 = 574.92 : x
  2. Step 2: Convert to fraction form
    646.04/890.87 = 574.92/x
  3. Step 3: Cross multiply
    646.04x = 890.87 × 574.92
  4. Step 4: Simplify right side
    646.04x = 512,176.11
  5. Step 5: Solve for x
    x = 512,176.11/646.04
  6. Step 6: Final answer
    x = 792.80

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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.