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Finding the Fourth Proportional to 810.51, 1,216.98 and 464.24

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Solution

The fourth proportional to 810.51, 1,216.98 and 464.24 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.51 : 1,216.98 = 464.24 : x
  2. Step 2: Convert to fraction form
    810.51/1,216.98 = 464.24/x
  3. Step 3: Cross multiply
    810.51x = 1,216.98 × 464.24
  4. Step 4: Simplify right side
    810.51x = 564,968.30
  5. Step 5: Solve for x
    x = 564,968.30/810.51
  6. Step 6: Final answer
    x = 697.05

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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.