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Finding the Fourth Proportional to 709.95, 978.82 and 520.30

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Solution

The fourth proportional to 709.95, 978.82 and 520.30 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.95 : 978.82 = 520.30 : x
  2. Step 2: Convert to fraction form
    709.95/978.82 = 520.30/x
  3. Step 3: Cross multiply
    709.95x = 978.82 × 520.30
  4. Step 4: Simplify right side
    709.95x = 509,280.05
  5. Step 5: Solve for x
    x = 509,280.05/709.95
  6. Step 6: Final answer
    x = 717.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.