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Finding the Fourth Proportional to 946.75, 1,307.61 and 631.50

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Solution

The fourth proportional to 946.75, 1,307.61 and 631.50 is: 872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.75 : 1,307.61 = 631.50 : x
  2. Step 2: Convert to fraction form
    946.75/1,307.61 = 631.50/x
  3. Step 3: Cross multiply
    946.75x = 1,307.61 × 631.50
  4. Step 4: Simplify right side
    946.75x = 825,758.08
  5. Step 5: Solve for x
    x = 825,758.08/946.75
  6. Step 6: Final answer
    x = 872.20

Related Problems

Find fourth proportional to 473.38, 653.81 and 315.75
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.