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Finding the Fourth Proportional to 858.78, 1,287.63 and 474.30

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Solution

The fourth proportional to 858.78, 1,287.63 and 474.30 is: 711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,287.63 = 474.30 : x
  2. Step 2: Convert to fraction form
    858.78/1,287.63 = 474.30/x
  3. Step 3: Cross multiply
    858.78x = 1,287.63 × 474.30
  4. Step 4: Simplify right side
    858.78x = 610,722.91
  5. Step 5: Solve for x
    x = 610,722.91/858.78
  6. Step 6: Final answer
    x = 711.15

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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.