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Finding the Fourth Proportional to 760.40, 1,048.97 and 465.16

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Solution

The fourth proportional to 760.40, 1,048.97 and 465.16 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.40 : 1,048.97 = 465.16 : x
  2. Step 2: Convert to fraction form
    760.40/1,048.97 = 465.16/x
  3. Step 3: Cross multiply
    760.40x = 1,048.97 × 465.16
  4. Step 4: Simplify right side
    760.40x = 487,938.89
  5. Step 5: Solve for x
    x = 487,938.89/760.40
  6. Step 6: Final answer
    x = 641.69

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1.5x scale

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.