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Finding the Fourth Proportional to 760.40, 1,049.04 and 603.05

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Solution

The fourth proportional to 760.40, 1,049.04 and 603.05 is: 831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.40 : 1,049.04 = 603.05 : x
  2. Step 2: Convert to fraction form
    760.40/1,049.04 = 603.05/x
  3. Step 3: Cross multiply
    760.40x = 1,049.04 × 603.05
  4. Step 4: Simplify right side
    760.40x = 632,623.57
  5. Step 5: Solve for x
    x = 632,623.57/760.40
  6. Step 6: Final answer
    x = 831.96

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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.