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Finding the Fourth Proportional to 978.76, 1,350.74 and 580.56

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Solution

The fourth proportional to 978.76, 1,350.74 and 580.56 is: 801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.76 : 1,350.74 = 580.56 : x
  2. Step 2: Convert to fraction form
    978.76/1,350.74 = 580.56/x
  3. Step 3: Cross multiply
    978.76x = 1,350.74 × 580.56
  4. Step 4: Simplify right side
    978.76x = 784,185.61
  5. Step 5: Solve for x
    x = 784,185.61/978.76
  6. Step 6: Final answer
    x = 801.20

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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.