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Finding the Fourth Proportional to 653.18, 978.54 and 508.18

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Solution

The fourth proportional to 653.18, 978.54 and 508.18 is: 761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 978.54 = 508.18 : x
  2. Step 2: Convert to fraction form
    653.18/978.54 = 508.18/x
  3. Step 3: Cross multiply
    653.18x = 978.54 × 508.18
  4. Step 4: Simplify right side
    653.18x = 497,274.46
  5. Step 5: Solve for x
    x = 497,274.46/653.18
  6. Step 6: Final answer
    x = 761.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.