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Finding the Fourth Proportional to 526.29, 783.93 and 519.90

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Solution

The fourth proportional to 526.29, 783.93 and 519.90 is: 774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.29 : 783.93 = 519.90 : x
  2. Step 2: Convert to fraction form
    526.29/783.93 = 519.90/x
  3. Step 3: Cross multiply
    526.29x = 783.93 × 519.90
  4. Step 4: Simplify right side
    526.29x = 407,565.21
  5. Step 5: Solve for x
    x = 407,565.21/526.29
  6. Step 6: Final answer
    x = 774.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.