Home / 1,044.16-1,559.96-975.84

Finding the Fourth Proportional to 1,044.16, 1,559.96 and 975.84

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Solution

The fourth proportional to 1,044.16, 1,559.96 and 975.84 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.16 : 1,559.96 = 975.84 : x
  2. Step 2: Convert to fraction form
    1,044.16/1,559.96 = 975.84/x
  3. Step 3: Cross multiply
    1,044.16x = 1,559.96 × 975.84
  4. Step 4: Simplify right side
    1,044.16x = 1,522,271.37
  5. Step 5: Solve for x
    x = 1,522,271.37/1,044.16
  6. Step 6: Final answer
    x = 1,457.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.