Home / 1,046.07-1,569.09-315.64

Finding the Fourth Proportional to 1,046.07, 1,569.09 and 315.64

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Solution

The fourth proportional to 1,046.07, 1,569.09 and 315.64 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,569.09 = 315.64 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,569.09 = 315.64/x
  3. Step 3: Cross multiply
    1,046.07x = 1,569.09 × 315.64
  4. Step 4: Simplify right side
    1,046.07x = 495,267.57
  5. Step 5: Solve for x
    x = 495,267.57/1,046.07
  6. Step 6: Final answer
    x = 473.46

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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.