Home / 1,210.32-1,814.40-632.16

Finding the Fourth Proportional to 1,210.32, 1,814.40 and 632.16

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Solution

The fourth proportional to 1,210.32, 1,814.40 and 632.16 is: 947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.32 : 1,814.40 = 632.16 : x
  2. Step 2: Convert to fraction form
    1,210.32/1,814.40 = 632.16/x
  3. Step 3: Cross multiply
    1,210.32x = 1,814.40 × 632.16
  4. Step 4: Simplify right side
    1,210.32x = 1,146,991.10
  5. Step 5: Solve for x
    x = 1,146,991.10/1,210.32
  6. Step 6: Final answer
    x = 947.68

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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.