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Finding the Fourth Proportional to 459.74, 688.94 and 362.49

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Solution

The fourth proportional to 459.74, 688.94 and 362.49 is: 543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 688.94 = 362.49 : x
  2. Step 2: Convert to fraction form
    459.74/688.94 = 362.49/x
  3. Step 3: Cross multiply
    459.74x = 688.94 × 362.49
  4. Step 4: Simplify right side
    459.74x = 249,730.82
  5. Step 5: Solve for x
    x = 249,730.82/459.74
  6. Step 6: Final answer
    x = 543.20

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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.