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Finding the Fourth Proportional to 710.70, 992.55 and 710.70

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Solution

The fourth proportional to 710.70, 992.55 and 710.70 is: 992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.70 : 992.55 = 710.70 : x
  2. Step 2: Convert to fraction form
    710.70/992.55 = 710.70/x
  3. Step 3: Cross multiply
    710.70x = 992.55 × 710.70
  4. Step 4: Simplify right side
    710.70x = 705,405.29
  5. Step 5: Solve for x
    x = 705,405.29/710.70
  6. Step 6: Final answer
    x = 992.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.