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Finding the Fourth Proportional to 1,392.23, 2,088.34 and 570.50

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Solution

The fourth proportional to 1,392.23, 2,088.34 and 570.50 is: 855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.23 : 2,088.34 = 570.50 : x
  2. Step 2: Convert to fraction form
    1,392.23/2,088.34 = 570.50/x
  3. Step 3: Cross multiply
    1,392.23x = 2,088.34 × 570.50
  4. Step 4: Simplify right side
    1,392.23x = 1,191,407.28
  5. Step 5: Solve for x
    x = 1,191,407.28/1,392.23
  6. Step 6: Final answer
    x = 855.75

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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.