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Finding the Fourth Proportional to 790.10, 1,185.35 and 357.14

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Solution

The fourth proportional to 790.10, 1,185.35 and 357.14 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.10 : 1,185.35 = 357.14 : x
  2. Step 2: Convert to fraction form
    790.10/1,185.35 = 357.14/x
  3. Step 3: Cross multiply
    790.10x = 1,185.35 × 357.14
  4. Step 4: Simplify right side
    790.10x = 423,334.11
  5. Step 5: Solve for x
    x = 423,334.11/790.10
  6. Step 6: Final answer
    x = 535.80

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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.