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Finding the Fourth Proportional to 530.78, 791.40 and 504.32

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Solution

The fourth proportional to 530.78, 791.40 and 504.32 is: 751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.78 : 791.40 = 504.32 : x
  2. Step 2: Convert to fraction form
    530.78/791.40 = 504.32/x
  3. Step 3: Cross multiply
    530.78x = 791.40 × 504.32
  4. Step 4: Simplify right side
    530.78x = 399,114.89
  5. Step 5: Solve for x
    x = 399,114.89/530.78
  6. Step 6: Final answer
    x = 751.95

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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.