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Finding the Fourth Proportional to 840.05, 1,158.96 and 508.35

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Solution

The fourth proportional to 840.05, 1,158.96 and 508.35 is: 701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.05 : 1,158.96 = 508.35 : x
  2. Step 2: Convert to fraction form
    840.05/1,158.96 = 508.35/x
  3. Step 3: Cross multiply
    840.05x = 1,158.96 × 508.35
  4. Step 4: Simplify right side
    840.05x = 589,154.77
  5. Step 5: Solve for x
    x = 589,154.77/840.05
  6. Step 6: Final answer
    x = 701.34

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Double scale
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1.5x scale

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.