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Finding the Fourth Proportional to 1,075, 1,483.54 and 609.24

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Solution

The fourth proportional to 1,075, 1,483.54 and 609.24 is: 840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075 : 1,483.54 = 609.24 : x
  2. Step 2: Convert to fraction form
    1,075/1,483.54 = 609.24/x
  3. Step 3: Cross multiply
    1,075x = 1,483.54 × 609.24
  4. Step 4: Simplify right side
    1,075x = 903,831.91
  5. Step 5: Solve for x
    x = 903,831.91/1,075
  6. Step 6: Final answer
    x = 840.77

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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.