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Finding the Fourth Proportional to 568.58, 848.97 and 509.63

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Solution

The fourth proportional to 568.58, 848.97 and 509.63 is: 760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.58 : 848.97 = 509.63 : x
  2. Step 2: Convert to fraction form
    568.58/848.97 = 509.63/x
  3. Step 3: Cross multiply
    568.58x = 848.97 × 509.63
  4. Step 4: Simplify right side
    568.58x = 432,660.58
  5. Step 5: Solve for x
    x = 432,660.58/568.58
  6. Step 6: Final answer
    x = 760.95

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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.