Home / 1,047.30-1,569.57-430.16

Finding the Fourth Proportional to 1,047.30, 1,569.57 and 430.16

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Solution

The fourth proportional to 1,047.30, 1,569.57 and 430.16 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.30 : 1,569.57 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,047.30/1,569.57 = 430.16/x
  3. Step 3: Cross multiply
    1,047.30x = 1,569.57 × 430.16
  4. Step 4: Simplify right side
    1,047.30x = 675,158.38
  5. Step 5: Solve for x
    x = 675,158.38/1,047.30
  6. Step 6: Final answer
    x = 644.67

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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.