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Finding the Fourth Proportional to 929.78, 1,283.10 and 556.78

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Solution

The fourth proportional to 929.78, 1,283.10 and 556.78 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,283.10 = 556.78 : x
  2. Step 2: Convert to fraction form
    929.78/1,283.10 = 556.78/x
  3. Step 3: Cross multiply
    929.78x = 1,283.10 × 556.78
  4. Step 4: Simplify right side
    929.78x = 714,398.00
  5. Step 5: Solve for x
    x = 714,398.00/929.78
  6. Step 6: Final answer
    x = 768.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.