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Finding the Fourth Proportional to 530.36, 796.08 and 435.32

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Solution

The fourth proportional to 530.36, 796.08 and 435.32 is: 653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.36 : 796.08 = 435.32 : x
  2. Step 2: Convert to fraction form
    530.36/796.08 = 435.32/x
  3. Step 3: Cross multiply
    530.36x = 796.08 × 435.32
  4. Step 4: Simplify right side
    530.36x = 346,549.55
  5. Step 5: Solve for x
    x = 346,549.55/530.36
  6. Step 6: Final answer
    x = 653.42

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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.