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Finding the Fourth Proportional to 526.59, 786.15 and 471.51

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Solution

The fourth proportional to 526.59, 786.15 and 471.51 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.59 : 786.15 = 471.51 : x
  2. Step 2: Convert to fraction form
    526.59/786.15 = 471.51/x
  3. Step 3: Cross multiply
    526.59x = 786.15 × 471.51
  4. Step 4: Simplify right side
    526.59x = 370,677.59
  5. Step 5: Solve for x
    x = 370,677.59/526.59
  6. Step 6: Final answer
    x = 703.92

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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.