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Finding the Fourth Proportional to 527.08, 786.44 and 496.12

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Solution

The fourth proportional to 527.08, 786.44 and 496.12 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.08 : 786.44 = 496.12 : x
  2. Step 2: Convert to fraction form
    527.08/786.44 = 496.12/x
  3. Step 3: Cross multiply
    527.08x = 786.44 × 496.12
  4. Step 4: Simplify right side
    527.08x = 390,168.61
  5. Step 5: Solve for x
    x = 390,168.61/527.08
  6. Step 6: Final answer
    x = 740.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.