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Finding the Fourth Proportional to 1,048.93, 1,572.79 and 433.07

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Solution

The fourth proportional to 1,048.93, 1,572.79 and 433.07 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.93 : 1,572.79 = 433.07 : x
  2. Step 2: Convert to fraction form
    1,048.93/1,572.79 = 433.07/x
  3. Step 3: Cross multiply
    1,048.93x = 1,572.79 × 433.07
  4. Step 4: Simplify right side
    1,048.93x = 681,128.17
  5. Step 5: Solve for x
    x = 681,128.17/1,048.93
  6. Step 6: Final answer
    x = 649.36

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Double scale
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1.5x scale

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.