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Finding the Fourth Proportional to 530.72, 797.40 and 287.36

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Solution

The fourth proportional to 530.72, 797.40 and 287.36 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 797.40 = 287.36 : x
  2. Step 2: Convert to fraction form
    530.72/797.40 = 287.36/x
  3. Step 3: Cross multiply
    530.72x = 797.40 × 287.36
  4. Step 4: Simplify right side
    530.72x = 229,140.86
  5. Step 5: Solve for x
    x = 229,140.86/530.72
  6. Step 6: Final answer
    x = 431.75

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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.