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Finding the Fourth Proportional to 597.14, 897.54 and 436.76

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Solution

The fourth proportional to 597.14, 897.54 and 436.76 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 897.54 = 436.76 : x
  2. Step 2: Convert to fraction form
    597.14/897.54 = 436.76/x
  3. Step 3: Cross multiply
    597.14x = 897.54 × 436.76
  4. Step 4: Simplify right side
    597.14x = 392,009.57
  5. Step 5: Solve for x
    x = 392,009.57/597.14
  6. Step 6: Final answer
    x = 656.48

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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.