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Finding the Fourth Proportional to 710.99, 1,064.76 and 345.99

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Solution

The fourth proportional to 710.99, 1,064.76 and 345.99 is: 518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.99 : 1,064.76 = 345.99 : x
  2. Step 2: Convert to fraction form
    710.99/1,064.76 = 345.99/x
  3. Step 3: Cross multiply
    710.99x = 1,064.76 × 345.99
  4. Step 4: Simplify right side
    710.99x = 368,396.31
  5. Step 5: Solve for x
    x = 368,396.31/710.99
  6. Step 6: Final answer
    x = 518.15

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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.