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Finding the Fourth Proportional to 503.40, 753.08 and 435.68

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Solution

The fourth proportional to 503.40, 753.08 and 435.68 is: 651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 753.08 = 435.68 : x
  2. Step 2: Convert to fraction form
    503.40/753.08 = 435.68/x
  3. Step 3: Cross multiply
    503.40x = 753.08 × 435.68
  4. Step 4: Simplify right side
    503.40x = 328,095.95
  5. Step 5: Solve for x
    x = 328,095.95/503.40
  6. Step 6: Final answer
    x = 651.76

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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.