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Finding the Fourth Proportional to 711.64, 978.98 and 580.36

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Solution

The fourth proportional to 711.64, 978.98 and 580.36 is: 798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.64 : 978.98 = 580.36 : x
  2. Step 2: Convert to fraction form
    711.64/978.98 = 580.36/x
  3. Step 3: Cross multiply
    711.64x = 978.98 × 580.36
  4. Step 4: Simplify right side
    711.64x = 568,160.83
  5. Step 5: Solve for x
    x = 568,160.83/711.64
  6. Step 6: Final answer
    x = 798.38

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1.5x scale

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.