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Finding the Fourth Proportional to 677.60, 1,009.28 and 646

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Solution

The fourth proportional to 677.60, 1,009.28 and 646 is: 962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,009.28 = 646 : x
  2. Step 2: Convert to fraction form
    677.60/1,009.28 = 646/x
  3. Step 3: Cross multiply
    677.60x = 1,009.28 × 646
  4. Step 4: Simplify right side
    677.60x = 651,994.88
  5. Step 5: Solve for x
    x = 651,994.88/677.60
  6. Step 6: Final answer
    x = 962.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.