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Finding the Fourth Proportional to 1,019.51, 1,406.62 and 571.34

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Solution

The fourth proportional to 1,019.51, 1,406.62 and 571.34 is: 788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.51 : 1,406.62 = 571.34 : x
  2. Step 2: Convert to fraction form
    1,019.51/1,406.62 = 571.34/x
  3. Step 3: Cross multiply
    1,019.51x = 1,406.62 × 571.34
  4. Step 4: Simplify right side
    1,019.51x = 803,649.81
  5. Step 5: Solve for x
    x = 803,649.81/1,019.51
  6. Step 6: Final answer
    x = 788.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.