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Finding the Fourth Proportional to 610.47, 916.20 and 464.67

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Solution

The fourth proportional to 610.47, 916.20 and 464.67 is: 697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.47 : 916.20 = 464.67 : x
  2. Step 2: Convert to fraction form
    610.47/916.20 = 464.67/x
  3. Step 3: Cross multiply
    610.47x = 916.20 × 464.67
  4. Step 4: Simplify right side
    610.47x = 425,730.65
  5. Step 5: Solve for x
    x = 425,730.65/610.47
  6. Step 6: Final answer
    x = 697.38

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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.