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Finding the Fourth Proportional to 1,023.51, 1,535.42 and 374.10

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Solution

The fourth proportional to 1,023.51, 1,535.42 and 374.10 is: 561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.51 : 1,535.42 = 374.10 : x
  2. Step 2: Convert to fraction form
    1,023.51/1,535.42 = 374.10/x
  3. Step 3: Cross multiply
    1,023.51x = 1,535.42 × 374.10
  4. Step 4: Simplify right side
    1,023.51x = 574,400.62
  5. Step 5: Solve for x
    x = 574,400.62/1,023.51
  6. Step 6: Final answer
    x = 561.21

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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.