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Finding the Fourth Proportional to 714.28, 986.16 and 583.60

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Solution

The fourth proportional to 714.28, 986.16 and 583.60 is: 805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.28 : 986.16 = 583.60 : x
  2. Step 2: Convert to fraction form
    714.28/986.16 = 583.60/x
  3. Step 3: Cross multiply
    714.28x = 986.16 × 583.60
  4. Step 4: Simplify right side
    714.28x = 575,522.98
  5. Step 5: Solve for x
    x = 575,522.98/714.28
  6. Step 6: Final answer
    x = 805.74

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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.