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Finding the Fourth Proportional to 946.99, 1,306.90 and 527.35

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Solution

The fourth proportional to 946.99, 1,306.90 and 527.35 is: 727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.99 : 1,306.90 = 527.35 : x
  2. Step 2: Convert to fraction form
    946.99/1,306.90 = 527.35/x
  3. Step 3: Cross multiply
    946.99x = 1,306.90 × 527.35
  4. Step 4: Simplify right side
    946.99x = 689,193.72
  5. Step 5: Solve for x
    x = 689,193.72/946.99
  6. Step 6: Final answer
    x = 727.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.