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Finding the Fourth Proportional to 710.78, 1,065.47 and 340.48

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Solution

The fourth proportional to 710.78, 1,065.47 and 340.48 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 1,065.47 = 340.48 : x
  2. Step 2: Convert to fraction form
    710.78/1,065.47 = 340.48/x
  3. Step 3: Cross multiply
    710.78x = 1,065.47 × 340.48
  4. Step 4: Simplify right side
    710.78x = 362,764.86
  5. Step 5: Solve for x
    x = 362,764.86/710.78
  6. Step 6: Final answer
    x = 510.38

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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.