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Finding the Fourth Proportional to 688.86, 1,030.92 and 525.60

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Solution

The fourth proportional to 688.86, 1,030.92 and 525.60 is: 786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 1,030.92 = 525.60 : x
  2. Step 2: Convert to fraction form
    688.86/1,030.92 = 525.60/x
  3. Step 3: Cross multiply
    688.86x = 1,030.92 × 525.60
  4. Step 4: Simplify right side
    688.86x = 541,851.55
  5. Step 5: Solve for x
    x = 541,851.55/688.86
  6. Step 6: Final answer
    x = 786.59

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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.