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Finding the Fourth Proportional to 568.95, 780.05 and 558.01

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Solution

The fourth proportional to 568.95, 780.05 and 558.01 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.95 : 780.05 = 558.01 : x
  2. Step 2: Convert to fraction form
    568.95/780.05 = 558.01/x
  3. Step 3: Cross multiply
    568.95x = 780.05 × 558.01
  4. Step 4: Simplify right side
    568.95x = 435,275.70
  5. Step 5: Solve for x
    x = 435,275.70/568.95
  6. Step 6: Final answer
    x = 765.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.