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Finding the Fourth Proportional to 760.50, 1,048.68 and 681.93

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Solution

The fourth proportional to 760.50, 1,048.68 and 681.93 is: 940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,048.68 = 681.93 : x
  2. Step 2: Convert to fraction form
    760.50/1,048.68 = 681.93/x
  3. Step 3: Cross multiply
    760.50x = 1,048.68 × 681.93
  4. Step 4: Simplify right side
    760.50x = 715,126.35
  5. Step 5: Solve for x
    x = 715,126.35/760.50
  6. Step 6: Final answer
    x = 940.34

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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.