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Finding the Fourth Proportional to 526.64, 786.15 and 502.97

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Solution

The fourth proportional to 526.64, 786.15 and 502.97 is: 750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.64 : 786.15 = 502.97 : x
  2. Step 2: Convert to fraction form
    526.64/786.15 = 502.97/x
  3. Step 3: Cross multiply
    526.64x = 786.15 × 502.97
  4. Step 4: Simplify right side
    526.64x = 395,405.93
  5. Step 5: Solve for x
    x = 395,405.93/526.64
  6. Step 6: Final answer
    x = 750.82

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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.