Home / 1,430.29-2,146.16-565.21

Finding the Fourth Proportional to 1,430.29, 2,146.16 and 565.21

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Solution

The fourth proportional to 1,430.29, 2,146.16 and 565.21 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.29 : 2,146.16 = 565.21 : x
  2. Step 2: Convert to fraction form
    1,430.29/2,146.16 = 565.21/x
  3. Step 3: Cross multiply
    1,430.29x = 2,146.16 × 565.21
  4. Step 4: Simplify right side
    1,430.29x = 1,213,031.09
  5. Step 5: Solve for x
    x = 1,213,031.09/1,430.29
  6. Step 6: Final answer
    x = 848.10

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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.