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Finding the Fourth Proportional to 946.59, 1,306.29 and 526.94

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Solution

The fourth proportional to 946.59, 1,306.29 and 526.94 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.59 : 1,306.29 = 526.94 : x
  2. Step 2: Convert to fraction form
    946.59/1,306.29 = 526.94/x
  3. Step 3: Cross multiply
    946.59x = 1,306.29 × 526.94
  4. Step 4: Simplify right side
    946.59x = 688,340.11
  5. Step 5: Solve for x
    x = 688,340.11/946.59
  6. Step 6: Final answer
    x = 727.18

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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.