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Finding the Fourth Proportional to 530.63, 791.33 and 471.62

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Solution

The fourth proportional to 530.63, 791.33 and 471.62 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.63 : 791.33 = 471.62 : x
  2. Step 2: Convert to fraction form
    530.63/791.33 = 471.62/x
  3. Step 3: Cross multiply
    530.63x = 791.33 × 471.62
  4. Step 4: Simplify right side
    530.63x = 373,206.67
  5. Step 5: Solve for x
    x = 373,206.67/530.63
  6. Step 6: Final answer
    x = 703.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.