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Finding the Fourth Proportional to 582.24, 873.48 and 430.16

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Solution

The fourth proportional to 582.24, 873.48 and 430.16 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 873.48 = 430.16 : x
  2. Step 2: Convert to fraction form
    582.24/873.48 = 430.16/x
  3. Step 3: Cross multiply
    582.24x = 873.48 × 430.16
  4. Step 4: Simplify right side
    582.24x = 375,736.16
  5. Step 5: Solve for x
    x = 375,736.16/582.24
  6. Step 6: Final answer
    x = 645.33

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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.