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Finding the Fourth Proportional to 760.08, 1,048.95 and 465.30

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Solution

The fourth proportional to 760.08, 1,048.95 and 465.30 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.08 : 1,048.95 = 465.30 : x
  2. Step 2: Convert to fraction form
    760.08/1,048.95 = 465.30/x
  3. Step 3: Cross multiply
    760.08x = 1,048.95 × 465.30
  4. Step 4: Simplify right side
    760.08x = 488,076.44
  5. Step 5: Solve for x
    x = 488,076.44/760.08
  6. Step 6: Final answer
    x = 642.14

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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.