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Finding the Fourth Proportional to 509.66, 759.48 and 505.40

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Solution

The fourth proportional to 509.66, 759.48 and 505.40 is: 753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.66 : 759.48 = 505.40 : x
  2. Step 2: Convert to fraction form
    509.66/759.48 = 505.40/x
  3. Step 3: Cross multiply
    509.66x = 759.48 × 505.40
  4. Step 4: Simplify right side
    509.66x = 383,841.19
  5. Step 5: Solve for x
    x = 383,841.19/509.66
  6. Step 6: Final answer
    x = 753.13

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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.