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Finding the Fourth Proportional to 840.29, 1,159.72 and 508.76

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Solution

The fourth proportional to 840.29, 1,159.72 and 508.76 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.29 : 1,159.72 = 508.76 : x
  2. Step 2: Convert to fraction form
    840.29/1,159.72 = 508.76/x
  3. Step 3: Cross multiply
    840.29x = 1,159.72 × 508.76
  4. Step 4: Simplify right side
    840.29x = 590,020.77
  5. Step 5: Solve for x
    x = 590,020.77/840.29
  6. Step 6: Final answer
    x = 702.16

Related Problems

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Half scale
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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.