Home / 1,430.09-2,145.62-563.93

Finding the Fourth Proportional to 1,430.09, 2,145.62 and 563.93

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Solution

The fourth proportional to 1,430.09, 2,145.62 and 563.93 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.09 : 2,145.62 = 563.93 : x
  2. Step 2: Convert to fraction form
    1,430.09/2,145.62 = 563.93/x
  3. Step 3: Cross multiply
    1,430.09x = 2,145.62 × 563.93
  4. Step 4: Simplify right side
    1,430.09x = 1,209,976.67
  5. Step 5: Solve for x
    x = 1,209,976.67/1,430.09
  6. Step 6: Final answer
    x = 846.08

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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.