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Finding the Fourth Proportional to 1,307.99, 1,962.15 and 383.47

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Solution

The fourth proportional to 1,307.99, 1,962.15 and 383.47 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.99 : 1,962.15 = 383.47 : x
  2. Step 2: Convert to fraction form
    1,307.99/1,962.15 = 383.47/x
  3. Step 3: Cross multiply
    1,307.99x = 1,962.15 × 383.47
  4. Step 4: Simplify right side
    1,307.99x = 752,416.26
  5. Step 5: Solve for x
    x = 752,416.26/1,307.99
  6. Step 6: Final answer
    x = 575.25

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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.