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Finding the Fourth Proportional to 677.90, 1,015.02 and 503.57

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Solution

The fourth proportional to 677.90, 1,015.02 and 503.57 is: 753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 1,015.02 = 503.57 : x
  2. Step 2: Convert to fraction form
    677.90/1,015.02 = 503.57/x
  3. Step 3: Cross multiply
    677.90x = 1,015.02 × 503.57
  4. Step 4: Simplify right side
    677.90x = 511,128.55
  5. Step 5: Solve for x
    x = 511,128.55/677.90
  6. Step 6: Final answer
    x = 753.99

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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.