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Finding the Fourth Proportional to 530.40, 792.24 and 421.86

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Solution

The fourth proportional to 530.40, 792.24 and 421.86 is: 630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 792.24 = 421.86 : x
  2. Step 2: Convert to fraction form
    530.40/792.24 = 421.86/x
  3. Step 3: Cross multiply
    530.40x = 792.24 × 421.86
  4. Step 4: Simplify right side
    530.40x = 334,214.37
  5. Step 5: Solve for x
    x = 334,214.37/530.40
  6. Step 6: Final answer
    x = 630.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.