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Finding the Fourth Proportional to 583.48, 870.29 and 549.64

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Solution

The fourth proportional to 583.48, 870.29 and 549.64 is: 819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 870.29 = 549.64 : x
  2. Step 2: Convert to fraction form
    583.48/870.29 = 549.64/x
  3. Step 3: Cross multiply
    583.48x = 870.29 × 549.64
  4. Step 4: Simplify right side
    583.48x = 478,346.20
  5. Step 5: Solve for x
    x = 478,346.20/583.48
  6. Step 6: Final answer
    x = 819.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.