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Finding the Fourth Proportional to 527.80, 740 and 527.80

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Solution

The fourth proportional to 527.80, 740 and 527.80 is: 740

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.80 : 740 = 527.80 : x
  2. Step 2: Convert to fraction form
    527.80/740 = 527.80/x
  3. Step 3: Cross multiply
    527.80x = 740 × 527.80
  4. Step 4: Simplify right side
    527.80x = 390,572.00
  5. Step 5: Solve for x
    x = 390,572.00/527.80
  6. Step 6: Final answer
    x = 740

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.