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Finding the Fourth Proportional to 714.16, 984.18 and 589.06

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Solution

The fourth proportional to 714.16, 984.18 and 589.06 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.16 : 984.18 = 589.06 : x
  2. Step 2: Convert to fraction form
    714.16/984.18 = 589.06/x
  3. Step 3: Cross multiply
    714.16x = 984.18 × 589.06
  4. Step 4: Simplify right side
    714.16x = 579,741.07
  5. Step 5: Solve for x
    x = 579,741.07/714.16
  6. Step 6: Final answer
    x = 811.78

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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.