Home / 1,030.06-1,542.88-957.93

Finding the Fourth Proportional to 1,030.06, 1,542.88 and 957.93

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Solution

The fourth proportional to 1,030.06, 1,542.88 and 957.93 is: 1,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.06 : 1,542.88 = 957.93 : x
  2. Step 2: Convert to fraction form
    1,030.06/1,542.88 = 957.93/x
  3. Step 3: Cross multiply
    1,030.06x = 1,542.88 × 957.93
  4. Step 4: Simplify right side
    1,030.06x = 1,477,966.45
  5. Step 5: Solve for x
    x = 1,477,966.45/1,030.06
  6. Step 6: Final answer
    x = 1,434.83

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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.