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Finding the Fourth Proportional to 530.02, 793.68 and 421.48

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Solution

The fourth proportional to 530.02, 793.68 and 421.48 is: 631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 793.68 = 421.48 : x
  2. Step 2: Convert to fraction form
    530.02/793.68 = 421.48/x
  3. Step 3: Cross multiply
    530.02x = 793.68 × 421.48
  4. Step 4: Simplify right side
    530.02x = 334,520.25
  5. Step 5: Solve for x
    x = 334,520.25/530.02
  6. Step 6: Final answer
    x = 631.15

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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.