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Finding the Fourth Proportional to 870.35, 1,306.22 and 608.67

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Solution

The fourth proportional to 870.35, 1,306.22 and 608.67 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.35 : 1,306.22 = 608.67 : x
  2. Step 2: Convert to fraction form
    870.35/1,306.22 = 608.67/x
  3. Step 3: Cross multiply
    870.35x = 1,306.22 × 608.67
  4. Step 4: Simplify right side
    870.35x = 795,053.88
  5. Step 5: Solve for x
    x = 795,053.88/870.35
  6. Step 6: Final answer
    x = 913.49

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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.