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Finding the Fourth Proportional to 482.91, 722.57 and 288.01

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Solution

The fourth proportional to 482.91, 722.57 and 288.01 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.91 : 722.57 = 288.01 : x
  2. Step 2: Convert to fraction form
    482.91/722.57 = 288.01/x
  3. Step 3: Cross multiply
    482.91x = 722.57 × 288.01
  4. Step 4: Simplify right side
    482.91x = 208,109.29
  5. Step 5: Solve for x
    x = 208,109.29/482.91
  6. Step 6: Final answer
    x = 430.95

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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.