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Finding the Fourth Proportional to 598.32, 896.52 and 435.72

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Solution

The fourth proportional to 598.32, 896.52 and 435.72 is: 652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 896.52 = 435.72 : x
  2. Step 2: Convert to fraction form
    598.32/896.52 = 435.72/x
  3. Step 3: Cross multiply
    598.32x = 896.52 × 435.72
  4. Step 4: Simplify right side
    598.32x = 390,631.69
  5. Step 5: Solve for x
    x = 390,631.69/598.32
  6. Step 6: Final answer
    x = 652.88

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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.