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Finding the Fourth Proportional to 530.75, 795.42 and 476.07

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Solution

The fourth proportional to 530.75, 795.42 and 476.07 is: 713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 795.42 = 476.07 : x
  2. Step 2: Convert to fraction form
    530.75/795.42 = 476.07/x
  3. Step 3: Cross multiply
    530.75x = 795.42 × 476.07
  4. Step 4: Simplify right side
    530.75x = 378,675.60
  5. Step 5: Solve for x
    x = 378,675.60/530.75
  6. Step 6: Final answer
    x = 713.48

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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.