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Finding the Fourth Proportional to 460.13, 633.98 and 312.50

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Solution

The fourth proportional to 460.13, 633.98 and 312.50 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.13 : 633.98 = 312.50 : x
  2. Step 2: Convert to fraction form
    460.13/633.98 = 312.50/x
  3. Step 3: Cross multiply
    460.13x = 633.98 × 312.50
  4. Step 4: Simplify right side
    460.13x = 198,114.02
  5. Step 5: Solve for x
    x = 198,114.02/460.13
  6. Step 6: Final answer
    x = 430.57

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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.