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Finding the Fourth Proportional to 530.16, 734.58 and 518.64

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Solution

The fourth proportional to 530.16, 734.58 and 518.64 is: 718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.16 : 734.58 = 518.64 : x
  2. Step 2: Convert to fraction form
    530.16/734.58 = 518.64/x
  3. Step 3: Cross multiply
    530.16x = 734.58 × 518.64
  4. Step 4: Simplify right side
    530.16x = 380,982.57
  5. Step 5: Solve for x
    x = 380,982.57/530.16
  6. Step 6: Final answer
    x = 718.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.