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Finding the Fourth Proportional to 529.60, 729.60 and 509.60

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Solution

The fourth proportional to 529.60, 729.60 and 509.60 is: 702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 729.60 = 509.60 : x
  2. Step 2: Convert to fraction form
    529.60/729.60 = 509.60/x
  3. Step 3: Cross multiply
    529.60x = 729.60 × 509.60
  4. Step 4: Simplify right side
    529.60x = 371,804.16
  5. Step 5: Solve for x
    x = 371,804.16/529.60
  6. Step 6: Final answer
    x = 702.05

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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.