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Finding the Fourth Proportional to 842.19, 1,162.10 and 510.57

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Solution

The fourth proportional to 842.19, 1,162.10 and 510.57 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.19 : 1,162.10 = 510.57 : x
  2. Step 2: Convert to fraction form
    842.19/1,162.10 = 510.57/x
  3. Step 3: Cross multiply
    842.19x = 1,162.10 × 510.57
  4. Step 4: Simplify right side
    842.19x = 593,325.03
  5. Step 5: Solve for x
    x = 593,325.03/842.19
  6. Step 6: Final answer
    x = 704.50

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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.