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Finding the Fourth Proportional to 504.76, 753.05 and 477.40

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Solution

The fourth proportional to 504.76, 753.05 and 477.40 is: 712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 753.05 = 477.40 : x
  2. Step 2: Convert to fraction form
    504.76/753.05 = 477.40/x
  3. Step 3: Cross multiply
    504.76x = 753.05 × 477.40
  4. Step 4: Simplify right side
    504.76x = 359,506.07
  5. Step 5: Solve for x
    x = 359,506.07/504.76
  6. Step 6: Final answer
    x = 712.23

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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.