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Finding the Fourth Proportional to 646.04, 889.72 and 644.02

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Solution

The fourth proportional to 646.04, 889.72 and 644.02 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 889.72 = 644.02 : x
  2. Step 2: Convert to fraction form
    646.04/889.72 = 644.02/x
  3. Step 3: Cross multiply
    646.04x = 889.72 × 644.02
  4. Step 4: Simplify right side
    646.04x = 572,993.64
  5. Step 5: Solve for x
    x = 572,993.64/646.04
  6. Step 6: Final answer
    x = 886.93

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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.