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Finding the Fourth Proportional to 530.26, 728.67 and 442.78

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Solution

The fourth proportional to 530.26, 728.67 and 442.78 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 728.67 = 442.78 : x
  2. Step 2: Convert to fraction form
    530.26/728.67 = 442.78/x
  3. Step 3: Cross multiply
    530.26x = 728.67 × 442.78
  4. Step 4: Simplify right side
    530.26x = 322,640.50
  5. Step 5: Solve for x
    x = 322,640.50/530.26
  6. Step 6: Final answer
    x = 608.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.