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Finding the Fourth Proportional to 685.55, 946.13 and 510.59

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Solution

The fourth proportional to 685.55, 946.13 and 510.59 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.55 : 946.13 = 510.59 : x
  2. Step 2: Convert to fraction form
    685.55/946.13 = 510.59/x
  3. Step 3: Cross multiply
    685.55x = 946.13 × 510.59
  4. Step 4: Simplify right side
    685.55x = 483,084.52
  5. Step 5: Solve for x
    x = 483,084.52/685.55
  6. Step 6: Final answer
    x = 704.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.