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Finding the Fourth Proportional to 646.40, 890.16 and 552.80

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Solution

The fourth proportional to 646.40, 890.16 and 552.80 is: 761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 890.16 = 552.80 : x
  2. Step 2: Convert to fraction form
    646.40/890.16 = 552.80/x
  3. Step 3: Cross multiply
    646.40x = 890.16 × 552.80
  4. Step 4: Simplify right side
    646.40x = 492,080.45
  5. Step 5: Solve for x
    x = 492,080.45/646.40
  6. Step 6: Final answer
    x = 761.26

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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.