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Finding the Fourth Proportional to 790.70, 1,185.66 and 570.40

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Solution

The fourth proportional to 790.70, 1,185.66 and 570.40 is: 855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.70 : 1,185.66 = 570.40 : x
  2. Step 2: Convert to fraction form
    790.70/1,185.66 = 570.40/x
  3. Step 3: Cross multiply
    790.70x = 1,185.66 × 570.40
  4. Step 4: Simplify right side
    790.70x = 676,297.50
  5. Step 5: Solve for x
    x = 676,297.50/790.70
  6. Step 6: Final answer
    x = 855.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.