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Finding the Fourth Proportional to 1,053.77, 1,580.36 and 313.38

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Solution

The fourth proportional to 1,053.77, 1,580.36 and 313.38 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.77 : 1,580.36 = 313.38 : x
  2. Step 2: Convert to fraction form
    1,053.77/1,580.36 = 313.38/x
  3. Step 3: Cross multiply
    1,053.77x = 1,580.36 × 313.38
  4. Step 4: Simplify right side
    1,053.77x = 495,249.85
  5. Step 5: Solve for x
    x = 495,249.85/1,053.77
  6. Step 6: Final answer
    x = 469.98

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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.