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Finding the Fourth Proportional to 946.69, 1,306.51 and 527.09

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Solution

The fourth proportional to 946.69, 1,306.51 and 527.09 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,306.51 = 527.09 : x
  2. Step 2: Convert to fraction form
    946.69/1,306.51 = 527.09/x
  3. Step 3: Cross multiply
    946.69x = 1,306.51 × 527.09
  4. Step 4: Simplify right side
    946.69x = 688,650.82
  5. Step 5: Solve for x
    x = 688,650.82/946.69
  6. Step 6: Final answer
    x = 727.43

Related Problems

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Half scale
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Double scale
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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.