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Finding the Fourth Proportional to 771.64, 1,064.20 and 509.72

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Solution

The fourth proportional to 771.64, 1,064.20 and 509.72 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,064.20 = 509.72 : x
  2. Step 2: Convert to fraction form
    771.64/1,064.20 = 509.72/x
  3. Step 3: Cross multiply
    771.64x = 1,064.20 × 509.72
  4. Step 4: Simplify right side
    771.64x = 542,444.02
  5. Step 5: Solve for x
    x = 542,444.02/771.64
  6. Step 6: Final answer
    x = 702.98

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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.