Home / 1,037.03-1,430.66-687.11

Finding the Fourth Proportional to 1,037.03, 1,430.66 and 687.11

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Solution

The fourth proportional to 1,037.03, 1,430.66 and 687.11 is: 947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.03 : 1,430.66 = 687.11 : x
  2. Step 2: Convert to fraction form
    1,037.03/1,430.66 = 687.11/x
  3. Step 3: Cross multiply
    1,037.03x = 1,430.66 × 687.11
  4. Step 4: Simplify right side
    1,037.03x = 983,020.79
  5. Step 5: Solve for x
    x = 983,020.79/1,037.03
  6. Step 6: Final answer
    x = 947.92

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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.