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Finding the Fourth Proportional to 530.30, 730.96 and 425.21

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Solution

The fourth proportional to 530.30, 730.96 and 425.21 is: 586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.30 : 730.96 = 425.21 : x
  2. Step 2: Convert to fraction form
    530.30/730.96 = 425.21/x
  3. Step 3: Cross multiply
    530.30x = 730.96 × 425.21
  4. Step 4: Simplify right side
    530.30x = 310,811.50
  5. Step 5: Solve for x
    x = 310,811.50/530.30
  6. Step 6: Final answer
    x = 586.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.