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Finding the Fourth Proportional to 1,307.53, 1,960.10 and 566.68

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Solution

The fourth proportional to 1,307.53, 1,960.10 and 566.68 is: 849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.53 : 1,960.10 = 566.68 : x
  2. Step 2: Convert to fraction form
    1,307.53/1,960.10 = 566.68/x
  3. Step 3: Cross multiply
    1,307.53x = 1,960.10 × 566.68
  4. Step 4: Simplify right side
    1,307.53x = 1,110,749.47
  5. Step 5: Solve for x
    x = 1,110,749.47/1,307.53
  6. Step 6: Final answer
    x = 849.50

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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.