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Finding the Fourth Proportional to 760.03, 1,047.87 and 511.16

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Solution

The fourth proportional to 760.03, 1,047.87 and 511.16 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.03 : 1,047.87 = 511.16 : x
  2. Step 2: Convert to fraction form
    760.03/1,047.87 = 511.16/x
  3. Step 3: Cross multiply
    760.03x = 1,047.87 × 511.16
  4. Step 4: Simplify right side
    760.03x = 535,623.99
  5. Step 5: Solve for x
    x = 535,623.99/760.03
  6. Step 6: Final answer
    x = 704.74

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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.