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Finding the Fourth Proportional to 568.74, 849.43 and 537.15

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Solution

The fourth proportional to 568.74, 849.43 and 537.15 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 849.43 = 537.15 : x
  2. Step 2: Convert to fraction form
    568.74/849.43 = 537.15/x
  3. Step 3: Cross multiply
    568.74x = 849.43 × 537.15
  4. Step 4: Simplify right side
    568.74x = 456,271.32
  5. Step 5: Solve for x
    x = 456,271.32/568.74
  6. Step 6: Final answer
    x = 802.25

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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.