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Finding the Fourth Proportional to 926.46, 1,390.86 and 790.38

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Solution

The fourth proportional to 926.46, 1,390.86 and 790.38 is: 1,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,390.86 = 790.38 : x
  2. Step 2: Convert to fraction form
    926.46/1,390.86 = 790.38/x
  3. Step 3: Cross multiply
    926.46x = 1,390.86 × 790.38
  4. Step 4: Simplify right side
    926.46x = 1,099,307.93
  5. Step 5: Solve for x
    x = 1,099,307.93/926.46
  6. Step 6: Final answer
    x = 1,186.57

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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.