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Finding the Fourth Proportional to 557.28, 840.48 and 497.04

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Solution

The fourth proportional to 557.28, 840.48 and 497.04 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 840.48 = 497.04 : x
  2. Step 2: Convert to fraction form
    557.28/840.48 = 497.04/x
  3. Step 3: Cross multiply
    557.28x = 840.48 × 497.04
  4. Step 4: Simplify right side
    557.28x = 417,752.18
  5. Step 5: Solve for x
    x = 417,752.18/557.28
  6. Step 6: Final answer
    x = 749.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.