Home / 1,047.27-1,569.65-430.14

Finding the Fourth Proportional to 1,047.27, 1,569.65 and 430.14

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Solution

The fourth proportional to 1,047.27, 1,569.65 and 430.14 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.27 : 1,569.65 = 430.14 : x
  2. Step 2: Convert to fraction form
    1,047.27/1,569.65 = 430.14/x
  3. Step 3: Cross multiply
    1,047.27x = 1,569.65 × 430.14
  4. Step 4: Simplify right side
    1,047.27x = 675,167.10
  5. Step 5: Solve for x
    x = 675,167.10/1,047.27
  6. Step 6: Final answer
    x = 644.69

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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.