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Finding the Fourth Proportional to 531.51, 798.48 and 416.13

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Solution

The fourth proportional to 531.51, 798.48 and 416.13 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.51 : 798.48 = 416.13 : x
  2. Step 2: Convert to fraction form
    531.51/798.48 = 416.13/x
  3. Step 3: Cross multiply
    531.51x = 798.48 × 416.13
  4. Step 4: Simplify right side
    531.51x = 332,271.48
  5. Step 5: Solve for x
    x = 332,271.48/531.51
  6. Step 6: Final answer
    x = 625.15

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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.