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Finding the Fourth Proportional to 810.04, 1,216.14 and 463.72

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Solution

The fourth proportional to 810.04, 1,216.14 and 463.72 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.04 : 1,216.14 = 463.72 : x
  2. Step 2: Convert to fraction form
    810.04/1,216.14 = 463.72/x
  3. Step 3: Cross multiply
    810.04x = 1,216.14 × 463.72
  4. Step 4: Simplify right side
    810.04x = 563,948.44
  5. Step 5: Solve for x
    x = 563,948.44/810.04
  6. Step 6: Final answer
    x = 696.20

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1.5x scale

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.