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Finding the Fourth Proportional to 808.42, 1,116.14 and 510.08

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Solution

The fourth proportional to 808.42, 1,116.14 and 510.08 is: 704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.42 : 1,116.14 = 510.08 : x
  2. Step 2: Convert to fraction form
    808.42/1,116.14 = 510.08/x
  3. Step 3: Cross multiply
    808.42x = 1,116.14 × 510.08
  4. Step 4: Simplify right side
    808.42x = 569,318.14
  5. Step 5: Solve for x
    x = 569,318.14/808.42
  6. Step 6: Final answer
    x = 704.24

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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.