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Finding the Fourth Proportional to 714.08, 986.16 and 583.52

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Solution

The fourth proportional to 714.08, 986.16 and 583.52 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.08 : 986.16 = 583.52 : x
  2. Step 2: Convert to fraction form
    714.08/986.16 = 583.52/x
  3. Step 3: Cross multiply
    714.08x = 986.16 × 583.52
  4. Step 4: Simplify right side
    714.08x = 575,444.08
  5. Step 5: Solve for x
    x = 575,444.08/714.08
  6. Step 6: Final answer
    x = 805.85

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1.5x scale

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.