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Finding the Fourth Proportional to 852.40, 1,174.16 and 603.28

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Solution

The fourth proportional to 852.40, 1,174.16 and 603.28 is: 831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,174.16 = 603.28 : x
  2. Step 2: Convert to fraction form
    852.40/1,174.16 = 603.28/x
  3. Step 3: Cross multiply
    852.40x = 1,174.16 × 603.28
  4. Step 4: Simplify right side
    852.40x = 708,347.24
  5. Step 5: Solve for x
    x = 708,347.24/852.40
  6. Step 6: Final answer
    x = 831.00

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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.