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Finding the Fourth Proportional to 530.48, 795.95 and 286.72

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Solution

The fourth proportional to 530.48, 795.95 and 286.72 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 795.95 = 286.72 : x
  2. Step 2: Convert to fraction form
    530.48/795.95 = 286.72/x
  3. Step 3: Cross multiply
    530.48x = 795.95 × 286.72
  4. Step 4: Simplify right side
    530.48x = 228,214.78
  5. Step 5: Solve for x
    x = 228,214.78/530.48
  6. Step 6: Final answer
    x = 430.20

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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.