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Finding the Fourth Proportional to 1,210.88, 1,816.56 and 420.32

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Solution

The fourth proportional to 1,210.88, 1,816.56 and 420.32 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.88 : 1,816.56 = 420.32 : x
  2. Step 2: Convert to fraction form
    1,210.88/1,816.56 = 420.32/x
  3. Step 3: Cross multiply
    1,210.88x = 1,816.56 × 420.32
  4. Step 4: Simplify right side
    1,210.88x = 763,541.04
  5. Step 5: Solve for x
    x = 763,541.04/1,210.88
  6. Step 6: Final answer
    x = 630.57

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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.