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Finding the Fourth Proportional to 530.18, 794.58 and 427.51

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Solution

The fourth proportional to 530.18, 794.58 and 427.51 is: 640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.18 : 794.58 = 427.51 : x
  2. Step 2: Convert to fraction form
    530.18/794.58 = 427.51/x
  3. Step 3: Cross multiply
    530.18x = 794.58 × 427.51
  4. Step 4: Simplify right side
    530.18x = 339,688.91
  5. Step 5: Solve for x
    x = 339,688.91/530.18
  6. Step 6: Final answer
    x = 640.71

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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.