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Finding the Fourth Proportional to 760.09, 1,048.91 and 428.55

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Solution

The fourth proportional to 760.09, 1,048.91 and 428.55 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.09 : 1,048.91 = 428.55 : x
  2. Step 2: Convert to fraction form
    760.09/1,048.91 = 428.55/x
  3. Step 3: Cross multiply
    760.09x = 1,048.91 × 428.55
  4. Step 4: Simplify right side
    760.09x = 449,510.38
  5. Step 5: Solve for x
    x = 449,510.38/760.09
  6. Step 6: Final answer
    x = 591.39

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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.