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Finding the Fourth Proportional to 760.55, 1,049.55 and 428.98

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Solution

The fourth proportional to 760.55, 1,049.55 and 428.98 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.55 : 1,049.55 = 428.98 : x
  2. Step 2: Convert to fraction form
    760.55/1,049.55 = 428.98/x
  3. Step 3: Cross multiply
    760.55x = 1,049.55 × 428.98
  4. Step 4: Simplify right side
    760.55x = 450,230.71
  5. Step 5: Solve for x
    x = 450,230.71/760.55
  6. Step 6: Final answer
    x = 591.98

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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.