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Finding the Fourth Proportional to 507.10, 702.70 and 476.28

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Solution

The fourth proportional to 507.10, 702.70 and 476.28 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 702.70 = 476.28 : x
  2. Step 2: Convert to fraction form
    507.10/702.70 = 476.28/x
  3. Step 3: Cross multiply
    507.10x = 702.70 × 476.28
  4. Step 4: Simplify right side
    507.10x = 334,681.96
  5. Step 5: Solve for x
    x = 334,681.96/507.10
  6. Step 6: Final answer
    x = 659.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.