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Finding the Fourth Proportional to 560.35, 840.53 and 526.15

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Solution

The fourth proportional to 560.35, 840.53 and 526.15 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.35 : 840.53 = 526.15 : x
  2. Step 2: Convert to fraction form
    560.35/840.53 = 526.15/x
  3. Step 3: Cross multiply
    560.35x = 840.53 × 526.15
  4. Step 4: Simplify right side
    560.35x = 442,244.86
  5. Step 5: Solve for x
    x = 442,244.86/560.35
  6. Step 6: Final answer
    x = 789.23

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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.