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Finding the Fourth Proportional to 567.60, 782.64 and 509.28

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Solution

The fourth proportional to 567.60, 782.64 and 509.28 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 782.64 = 509.28 : x
  2. Step 2: Convert to fraction form
    567.60/782.64 = 509.28/x
  3. Step 3: Cross multiply
    567.60x = 782.64 × 509.28
  4. Step 4: Simplify right side
    567.60x = 398,582.90
  5. Step 5: Solve for x
    x = 398,582.90/567.60
  6. Step 6: Final answer
    x = 702.22

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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.