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Finding the Fourth Proportional to 560.31, 840.89 and 286.63

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Solution

The fourth proportional to 560.31, 840.89 and 286.63 is: 430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.31 : 840.89 = 286.63 : x
  2. Step 2: Convert to fraction form
    560.31/840.89 = 286.63/x
  3. Step 3: Cross multiply
    560.31x = 840.89 × 286.63
  4. Step 4: Simplify right side
    560.31x = 241,022.87
  5. Step 5: Solve for x
    x = 241,022.87/560.31
  6. Step 6: Final answer
    x = 430.16

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1.5x scale

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.