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Finding the Fourth Proportional to 530.48, 794.81 and 287.18

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Solution

The fourth proportional to 530.48, 794.81 and 287.18 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 794.81 = 287.18 : x
  2. Step 2: Convert to fraction form
    530.48/794.81 = 287.18/x
  3. Step 3: Cross multiply
    530.48x = 794.81 × 287.18
  4. Step 4: Simplify right side
    530.48x = 228,248.13
  5. Step 5: Solve for x
    x = 228,248.13/530.48
  6. Step 6: Final answer
    x = 430.27

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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.