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Finding the Fourth Proportional to 424.75, 586.47 and 314.50

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Solution

The fourth proportional to 424.75, 586.47 and 314.50 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.75 : 586.47 = 314.50 : x
  2. Step 2: Convert to fraction form
    424.75/586.47 = 314.50/x
  3. Step 3: Cross multiply
    424.75x = 586.47 × 314.50
  4. Step 4: Simplify right side
    424.75x = 184,444.82
  5. Step 5: Solve for x
    x = 184,444.82/424.75
  6. Step 6: Final answer
    x = 434.24

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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.