Home / 1,047.34-1,569.72-430.66

Finding the Fourth Proportional to 1,047.34, 1,569.72 and 430.66

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Solution

The fourth proportional to 1,047.34, 1,569.72 and 430.66 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.34 : 1,569.72 = 430.66 : x
  2. Step 2: Convert to fraction form
    1,047.34/1,569.72 = 430.66/x
  3. Step 3: Cross multiply
    1,047.34x = 1,569.72 × 430.66
  4. Step 4: Simplify right side
    1,047.34x = 676,015.62
  5. Step 5: Solve for x
    x = 676,015.62/1,047.34
  6. Step 6: Final answer
    x = 645.46

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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.