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Finding the Fourth Proportional to 760.20, 1,139.28 and 553.56

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Solution

The fourth proportional to 760.20, 1,139.28 and 553.56 is: 829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,139.28 = 553.56 : x
  2. Step 2: Convert to fraction form
    760.20/1,139.28 = 553.56/x
  3. Step 3: Cross multiply
    760.20x = 1,139.28 × 553.56
  4. Step 4: Simplify right side
    760.20x = 630,659.84
  5. Step 5: Solve for x
    x = 630,659.84/760.20
  6. Step 6: Final answer
    x = 829.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.