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Finding the Fourth Proportional to 504.66, 753.28 and 435.40

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Solution

The fourth proportional to 504.66, 753.28 and 435.40 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 753.28 = 435.40 : x
  2. Step 2: Convert to fraction form
    504.66/753.28 = 435.40/x
  3. Step 3: Cross multiply
    504.66x = 753.28 × 435.40
  4. Step 4: Simplify right side
    504.66x = 327,978.11
  5. Step 5: Solve for x
    x = 327,978.11/504.66
  6. Step 6: Final answer
    x = 649.90

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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.