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Finding the Fourth Proportional to 709.77, 978.94 and 500.00

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Solution

The fourth proportional to 709.77, 978.94 and 500.00 is: 689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 978.94 = 500.00 : x
  2. Step 2: Convert to fraction form
    709.77/978.94 = 500.00/x
  3. Step 3: Cross multiply
    709.77x = 978.94 × 500.00
  4. Step 4: Simplify right side
    709.77x = 489,471.24
  5. Step 5: Solve for x
    x = 489,471.24/709.77
  6. Step 6: Final answer
    x = 689.62

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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.