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Finding the Fourth Proportional to 946.74, 1,307.10 and 725.28

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Solution

The fourth proportional to 946.74, 1,307.10 and 725.28 is: 1,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.74 : 1,307.10 = 725.28 : x
  2. Step 2: Convert to fraction form
    946.74/1,307.10 = 725.28/x
  3. Step 3: Cross multiply
    946.74x = 1,307.10 × 725.28
  4. Step 4: Simplify right side
    946.74x = 948,013.49
  5. Step 5: Solve for x
    x = 948,013.49/946.74
  6. Step 6: Final answer
    x = 1,001.35

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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.