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Finding the Fourth Proportional to 897.89, 1,346.74 and 312.80

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Solution

The fourth proportional to 897.89, 1,346.74 and 312.80 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.89 : 1,346.74 = 312.80 : x
  2. Step 2: Convert to fraction form
    897.89/1,346.74 = 312.80/x
  3. Step 3: Cross multiply
    897.89x = 1,346.74 × 312.80
  4. Step 4: Simplify right side
    897.89x = 421,252.76
  5. Step 5: Solve for x
    x = 421,252.76/897.89
  6. Step 6: Final answer
    x = 469.16

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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.