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Finding the Fourth Proportional to 783.76, 1,176.03 and 554.13

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Solution

The fourth proportional to 783.76, 1,176.03 and 554.13 is: 831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,176.03 = 554.13 : x
  2. Step 2: Convert to fraction form
    783.76/1,176.03 = 554.13/x
  3. Step 3: Cross multiply
    783.76x = 1,176.03 × 554.13
  4. Step 4: Simplify right side
    783.76x = 651,668.64
  5. Step 5: Solve for x
    x = 651,668.64/783.76
  6. Step 6: Final answer
    x = 831.46

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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.