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Finding the Fourth Proportional to 530.54, 795.78 and 315.49

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Solution

The fourth proportional to 530.54, 795.78 and 315.49 is: 473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.54 : 795.78 = 315.49 : x
  2. Step 2: Convert to fraction form
    530.54/795.78 = 315.49/x
  3. Step 3: Cross multiply
    530.54x = 795.78 × 315.49
  4. Step 4: Simplify right side
    530.54x = 251,060.63
  5. Step 5: Solve for x
    x = 251,060.63/530.54
  6. Step 6: Final answer
    x = 473.22

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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.