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Finding the Fourth Proportional to 760.02, 1,047.72 and 511.24

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Solution

The fourth proportional to 760.02, 1,047.72 and 511.24 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.02 : 1,047.72 = 511.24 : x
  2. Step 2: Convert to fraction form
    760.02/1,047.72 = 511.24/x
  3. Step 3: Cross multiply
    760.02x = 1,047.72 × 511.24
  4. Step 4: Simplify right side
    760.02x = 535,636.37
  5. Step 5: Solve for x
    x = 535,636.37/760.02
  6. Step 6: Final answer
    x = 704.77

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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.