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Finding the Fourth Proportional to 597.54, 899.64 and 436.32

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Solution

The fourth proportional to 597.54, 899.64 and 436.32 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 899.64 = 436.32 : x
  2. Step 2: Convert to fraction form
    597.54/899.64 = 436.32/x
  3. Step 3: Cross multiply
    597.54x = 899.64 × 436.32
  4. Step 4: Simplify right side
    597.54x = 392,530.92
  5. Step 5: Solve for x
    x = 392,530.92/597.54
  6. Step 6: Final answer
    x = 656.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.