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Finding the Fourth Proportional to 808.94, 1,115.87 and 510.06

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Solution

The fourth proportional to 808.94, 1,115.87 and 510.06 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.94 : 1,115.87 = 510.06 : x
  2. Step 2: Convert to fraction form
    808.94/1,115.87 = 510.06/x
  3. Step 3: Cross multiply
    808.94x = 1,115.87 × 510.06
  4. Step 4: Simplify right side
    808.94x = 569,158.10
  5. Step 5: Solve for x
    x = 569,158.10/808.94
  6. Step 6: Final answer
    x = 703.59

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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.