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Finding the Fourth Proportional to 897.06, 1,343.70 and 485.04

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Solution

The fourth proportional to 897.06, 1,343.70 and 485.04 is: 726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,343.70 = 485.04 : x
  2. Step 2: Convert to fraction form
    897.06/1,343.70 = 485.04/x
  3. Step 3: Cross multiply
    897.06x = 1,343.70 × 485.04
  4. Step 4: Simplify right side
    897.06x = 651,748.25
  5. Step 5: Solve for x
    x = 651,748.25/897.06
  6. Step 6: Final answer
    x = 726.54

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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.