Home / 1,022.90-1,533.39-373.16

Finding the Fourth Proportional to 1,022.90, 1,533.39 and 373.16

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Solution

The fourth proportional to 1,022.90, 1,533.39 and 373.16 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,533.39 = 373.16 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,533.39 = 373.16/x
  3. Step 3: Cross multiply
    1,022.90x = 1,533.39 × 373.16
  4. Step 4: Simplify right side
    1,022.90x = 572,199.81
  5. Step 5: Solve for x
    x = 572,199.81/1,022.90
  6. Step 6: Final answer
    x = 559.39

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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.