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Finding the Fourth Proportional to 660.71, 913.51 and 578.70

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Solution

The fourth proportional to 660.71, 913.51 and 578.70 is: 800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.71 : 913.51 = 578.70 : x
  2. Step 2: Convert to fraction form
    660.71/913.51 = 578.70/x
  3. Step 3: Cross multiply
    660.71x = 913.51 × 578.70
  4. Step 4: Simplify right side
    660.71x = 528,648.96
  5. Step 5: Solve for x
    x = 528,648.96/660.71
  6. Step 6: Final answer
    x = 800.12

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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.