Home / 1,046.23-1,569.86-430.12

Finding the Fourth Proportional to 1,046.23, 1,569.86 and 430.12

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Solution

The fourth proportional to 1,046.23, 1,569.86 and 430.12 is: 645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.23 : 1,569.86 = 430.12 : x
  2. Step 2: Convert to fraction form
    1,046.23/1,569.86 = 430.12/x
  3. Step 3: Cross multiply
    1,046.23x = 1,569.86 × 430.12
  4. Step 4: Simplify right side
    1,046.23x = 675,226.03
  5. Step 5: Solve for x
    x = 675,226.03/1,046.23
  6. Step 6: Final answer
    x = 645.39

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1.5x scale

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.