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Finding the Fourth Proportional to 652.18, 973.16 and 583.13

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Solution

The fourth proportional to 652.18, 973.16 and 583.13 is: 870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.18 : 973.16 = 583.13 : x
  2. Step 2: Convert to fraction form
    652.18/973.16 = 583.13/x
  3. Step 3: Cross multiply
    652.18x = 973.16 × 583.13
  4. Step 4: Simplify right side
    652.18x = 567,475.38
  5. Step 5: Solve for x
    x = 567,475.38/652.18
  6. Step 6: Final answer
    x = 870.12

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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.