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Finding the Fourth Proportional to 614.40, 916.59 and 505.86

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Solution

The fourth proportional to 614.40, 916.59 and 505.86 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 916.59 = 505.86 : x
  2. Step 2: Convert to fraction form
    614.40/916.59 = 505.86/x
  3. Step 3: Cross multiply
    614.40x = 916.59 × 505.86
  4. Step 4: Simplify right side
    614.40x = 463,666.22
  5. Step 5: Solve for x
    x = 463,666.22/614.40
  6. Step 6: Final answer
    x = 754.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.