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Finding the Fourth Proportional to 860.71, 1,289.01 and 494.38

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Solution

The fourth proportional to 860.71, 1,289.01 and 494.38 is: 740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.71 : 1,289.01 = 494.38 : x
  2. Step 2: Convert to fraction form
    860.71/1,289.01 = 494.38/x
  3. Step 3: Cross multiply
    860.71x = 1,289.01 × 494.38
  4. Step 4: Simplify right side
    860.71x = 637,260.76
  5. Step 5: Solve for x
    x = 637,260.76/860.71
  6. Step 6: Final answer
    x = 740.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.