Home / 1,403.70-1,938.51-1,157.46

Finding the Fourth Proportional to 1,403.70, 1,938.51 and 1,157.46

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Solution

The fourth proportional to 1,403.70, 1,938.51 and 1,157.46 is: 1,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.70 : 1,938.51 = 1,157.46 : x
  2. Step 2: Convert to fraction form
    1,403.70/1,938.51 = 1,157.46/x
  3. Step 3: Cross multiply
    1,403.70x = 1,938.51 × 1,157.46
  4. Step 4: Simplify right side
    1,403.70x = 2,243,747.78
  5. Step 5: Solve for x
    x = 2,243,747.78/1,403.70
  6. Step 6: Final answer
    x = 1,598.45

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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.