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Finding the Fourth Proportional to 530.52, 730.56 and 382.89

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Solution

The fourth proportional to 530.52, 730.56 and 382.89 is: 527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 730.56 = 382.89 : x
  2. Step 2: Convert to fraction form
    530.52/730.56 = 382.89/x
  3. Step 3: Cross multiply
    530.52x = 730.56 × 382.89
  4. Step 4: Simplify right side
    530.52x = 279,724.12
  5. Step 5: Solve for x
    x = 279,724.12/530.52
  6. Step 6: Final answer
    x = 527.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.