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Finding the Fourth Proportional to 857.01, 1,284.90 and 509.52

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Solution

The fourth proportional to 857.01, 1,284.90 and 509.52 is: 763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.01 : 1,284.90 = 509.52 : x
  2. Step 2: Convert to fraction form
    857.01/1,284.90 = 509.52/x
  3. Step 3: Cross multiply
    857.01x = 1,284.90 × 509.52
  4. Step 4: Simplify right side
    857.01x = 654,682.25
  5. Step 5: Solve for x
    x = 654,682.25/857.01
  6. Step 6: Final answer
    x = 763.91

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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.