Home / 1,307.92-1,962.17-430.50

Finding the Fourth Proportional to 1,307.92, 1,962.17 and 430.50

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Solution

The fourth proportional to 1,307.92, 1,962.17 and 430.50 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.92 : 1,962.17 = 430.50 : x
  2. Step 2: Convert to fraction form
    1,307.92/1,962.17 = 430.50/x
  3. Step 3: Cross multiply
    1,307.92x = 1,962.17 × 430.50
  4. Step 4: Simplify right side
    1,307.92x = 844,708.76
  5. Step 5: Solve for x
    x = 844,708.76/1,307.92
  6. Step 6: Final answer
    x = 645.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.