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Finding the Fourth Proportional to 530.64, 794.28 and 510.48

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Solution

The fourth proportional to 530.64, 794.28 and 510.48 is: 764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 794.28 = 510.48 : x
  2. Step 2: Convert to fraction form
    530.64/794.28 = 510.48/x
  3. Step 3: Cross multiply
    530.64x = 794.28 × 510.48
  4. Step 4: Simplify right side
    530.64x = 405,464.05
  5. Step 5: Solve for x
    x = 405,464.05/530.64
  6. Step 6: Final answer
    x = 764.10

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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.