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Finding the Fourth Proportional to 527.04, 785.16 and 521.28

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Solution

The fourth proportional to 527.04, 785.16 and 521.28 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 785.16 = 521.28 : x
  2. Step 2: Convert to fraction form
    527.04/785.16 = 521.28/x
  3. Step 3: Cross multiply
    527.04x = 785.16 × 521.28
  4. Step 4: Simplify right side
    527.04x = 409,288.20
  5. Step 5: Solve for x
    x = 409,288.20/527.04
  6. Step 6: Final answer
    x = 776.58

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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.