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Finding the Fourth Proportional to 526.61, 788.83 and 410.93

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Solution

The fourth proportional to 526.61, 788.83 and 410.93 is: 615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.61 : 788.83 = 410.93 : x
  2. Step 2: Convert to fraction form
    526.61/788.83 = 410.93/x
  3. Step 3: Cross multiply
    526.61x = 788.83 × 410.93
  4. Step 4: Simplify right side
    526.61x = 324,153.91
  5. Step 5: Solve for x
    x = 324,153.91/526.61
  6. Step 6: Final answer
    x = 615.55

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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.