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Finding the Fourth Proportional to 526.93, 790.62 and 283.17

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Solution

The fourth proportional to 526.93, 790.62 and 283.17 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.93 : 790.62 = 283.17 : x
  2. Step 2: Convert to fraction form
    526.93/790.62 = 283.17/x
  3. Step 3: Cross multiply
    526.93x = 790.62 × 283.17
  4. Step 4: Simplify right side
    526.93x = 223,883.89
  5. Step 5: Solve for x
    x = 223,883.89/526.93
  6. Step 6: Final answer
    x = 424.88

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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.